i. Solve for x: a) 32x-5 = 27 b) log x = log 3 + 2 log 4 ii. If RM 400 is invested for 2 years at 6% compounded annually, find the compound amount

Q: Solve for x: log(x + 4) – log(x + 2) = 2 x = You may enter the exact value or round to 4 decimal…

A: →If nothing is said about base of log then take it as 10.→logm - logn = logmn→logax = b then, x = ab

Q: Solve for x in each equation. a. 3x = 1/81  b. log2 x = −4

A: We will write the right side using an exponent, then we equate the exponents.

Q: Find a formula for the exponential function passing through the points (-2,5) and (1, 15). y =

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: A man invested 1000 dollars in an account. How long will it take before this investment will triple…

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Q: Solve for x. 0=log (base 5)x

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Q: Assume you invest $10,000 in a mutual fund (e.g. money market fund) at an APR of 7% compounded…

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Q: Find the time it takes for $7,200 to double when invested at an annual interest rate of 16%,…

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Q: Solve for x: log(x + 2) – log( + 1) = 1 You may enter the exact value or round to 4 decimal places.

A: Given

Q: Find the amount resulting in 12 years, if $25,000 is invested now at an interest rate of 4.25% p.a.…

A: Given that, P=25000, r=4.25%, t=12years

Q: Solve for x in the following equation: 4.7 = -log(1.76 E -5) + log (x / 0.16)

A: This question is based on properties of logarithm.

Q: Solve for r: log(z) + log(x + 2) = 9 You may enter the exact value or round to 4 decimal places.

A:

Q: Find the time it takes for $6,400 to double when invested at an annual interest rate of 4%,…

A: Given: sum, P=$6,400 r=4%=4100=0.04 We have to find time in which given sum becomes double. So,…

Q: Find a formula for the exponential equation passing through the points: (0,3) and (1,12) y =

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Q: Find a formula for the exponential function passing through the points (-1,-) and (1,8) y% =

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Q: Solve for x: log(x + 5) – log(x + 4) = 2 You may enter the exact value or round to 4 decimal places.

A: Given that  log(x + 5) - log( x + 4) = 2  We need to solve this equation for x.   As we know that…

Q: Hannah wants to have $6000 to help pay for a new deck in 10 years. If she wants to put her money…

A: Time has been valuable in all aspects but in terms of finance, time has a money value. The worth of…

Q: Find the root of the equation x log10X=4.77by newton-Raphson method, correct to two decimal places.

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Q: Find the time it takes for $8,900 to double when invested at an annual interest rate of 2%,…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How long will it take to triple $12000, invested at 4.5% compounded continuously? (A = Pe*t) %3D

A: We are given the initial value to be $12000 and rate r = 4.5% = 0.045. Now, we need to find that how…

Q: See photo attached, thank you.

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Q: 27. How long will it take money to double if it invested at 6% compounded monthly? 9% compounded…

A: If P=initial investment, r = interest rate compounded monthly  and A= amount after t years , then we…

Q: Find a formula for the exponential function passing through the points (-2,-) and (1,10) y =

A: On solving this we will asume firstly general exponential function so  we will get

Q: Solve for x: log(x + 2) – log(x + 1) = 1 x = You may enter the exact value or round to 4 decimal…

A: log(a)-log(b)=log(a/b) If log m=n m=10n

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2…

A: Given logarithmic equation is: log2 xlog2 x=4 We have to solve for x.

Q: Find a formula for the exponential function passing through the points (-3, 2 / 27) and (1, 6). y =

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Q: log 10x dx

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Q: Kayden is going to invest in an account paying an interest rate of 4.2% compounded continuously. How…

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Q: Solve for r: log(z) + log(z + 4) = 5

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Q: Find the time it takes for $9,300 to double when invested at an annual interest rate of 19%,…

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Q: Find the amount A in dollars of $8000 invested for 30 years at 10% compounded continuously.

A: Given- P= $8000, r=10%, t=30years. To find- The total amount A. Formula used- A=P1+r100n, where A=…

Q: 7. Solve for x using log properties: log(5x) – log(x² - 2) = 1 |

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Q: Solve ln 4 + ln 2log 4 + log 2

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Q: L = Tan (log2xyz) solve = ∂4L/∂x2yz

A: Given, L=tanlog2xyz Find the value of ∂4L∂x2∂y∂z.

Q: Solve for x: (log(x)2= log(x)+15

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Q: ind the time it takes for $6,300 to double when invested at an annual interest rate of 15%,…

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Q: The half-life of silicon-32 is 710 years. If 70 grams is present now, how much will be present in…

A: The equation governing mass at any time t will be: m(t) = m0e-kt where k = 0.693 / t1/2 = 0.693 /…

Q: Solve for r: log(z + 4) – log(z+3) = 1 You may enter the exact value or round to 4 decimal places

A: Since the question has multiple questions but according to guidelines we will solve the first…

Q: Teri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long…

A: Initial investment=$1500 Rate of interest=2.25% We need the time in which the earnings will be $5000

Q: The loudness level of a sound, D, in decibels, is given by the formulaD = 10 log(1012I), where I is…

A: Given: The loudness level of a sound, D, in decibels, is given by the formula D = 10 log(1012 I)…

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: Continuous compound interest formula: The amount in an account after t years at r rate is compounded…

Q: Solve for x. log.x = log (r+ 8) – log2

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Q: solve for x  log(x+4) - log(x+1)=1 You may enter the exact value or round to 4 decimal places.

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Q: The loudness level of a sound, D, in decibels, is given by the formulaD = 10 log(1012I),where I is…

A: Given :   Formula :-      D=10 log(1012 I)             ...(1)   Also        I=6.3 x 106…

Q: How long will it take for an investment to double in value if it earns 62​% compounded​…

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Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

Q: A population of 15,000 small deer in aspecific region has grown exponentially to 17,000 in 4 years.…

A: We know that exponential equation to express the population growth is, y=y0ekt Where y0 is initial…

Q: How long will it take a $600 investment to be worth $700 if it is continuously compounded at 11% per…

A: Write the continuous compound interest formula,

Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = x

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Q: If you invest $5000 compounded continuously at 4% p.a. how much will this investment be worth in 5…

A: The initial amount P=$5000 Rate of interest r=4%=4100=0.04 p.a. The time period t = 5 years

Q: How long does it take an investment to triple at an annual interest rate of 6.45% compounded…

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