In other words, if y = bª, express x in terms of y.

Q: 4. Convert the following to an exponential equation: log15(2x) = = 11

A:

Q: Condense the expression 3 ln x + 2 ln(x + 1) to the logarithm of a single quantity.

A: The logarithms have the following properties. Given logarithm expression:

Q: Condense the expression log2 y − log2 3 to the logarithm of a single quantity.

A:

Q: Condense the expression 5 ln(x − 2) − ln(x + 2) − 3 ln x to the logarithm of a single quantity.

A: Use the logarithmic property as follows:

Q: Condense the expression log3 13 + log3 y to the logarithm of a single quantity.

A: According to the logarithmic formula , .

Q: Find the solution of the exponential equation  13e^x=19 in terms of logarithms, or correct to four…

A:

Q: Solve for x by converting the logarithm equation log1\7 (x)=2 to exponential form.

A: We have the formula, loga(b)=m, then b=am

Q: In the given question as follows,, write the expression as a logarithm of a single quantity:-   4 ln…

A: Here given expression  4 ln 2-12lnx3+6x

Q: Find the exact solution of the exponential equation in terms of logarithms. e−5x = 4

A: Given:   Find the exact solution of the exponential equation in terms of logarithms. e−5x = 4

Q: Condense the expression to the logarithm of a single quantity. ln x − [ln(x + 1) + ln(x − 1)]

A:

Q: Condense the expression to the logarithm of a single quantity. [3 In(x + 5) + In(x) – In(x3 - 1)] 2

A: The given expression,        123 lnx+5+lnx-lnx3-1

Q: What is an exponential function and a logarithmic function?

A:

Q: Solve for x by converting the logarithmic equation log1/7 (x) = 2 to exponential form.

A:

Q: Solve for x by converting the logarithmic equation to the exponential form. log(x) = 4 x=_____

A: log10x=4⇒x=104⇒x=10000

Q: If log10 y = 12, which is equal to y? Select the correct answer below: O yl0 ,10 O yl2 O 1010 O 1012…

A:

Q: What is a logarithmic equation?

A: The logarithm of the number N to the base 'a' is the exponent indicating the power to which the base…

Q: Condense the expression to the logarithm of a single quantity. 2 In(8) - 4 In(z - 6)

A:

Q: Condense the expression to the logarithm of a single quantity. 3 In(4) 8 In(z - 6)

A: Solution-

Q: Find the exact value of the logarithmic expression without using a calculator. ln (1/square root of…

A: Please see the explanation below

Q: The inverse of an exponential function is a logarithmic function

A:

Q: Why is e a convenient base for exponential and logarithmic functions?

A: The number  e  is very important in mathematics, alongside  0 , 1 , i , and π .  All five of these…

Q: The value of log; v8 is 2

A:

Q: Whats the relation between an exponential and logarithmc function with the same base?

A: Relation between Exponential and logarithmic function with same base

Q: Find the solution of the exponential equation 1000(1.04) = 500, 000 in terms of logarithms, or…

A: given 10001.042t=500,000

Q: Condense the expression to the logarithm of a single quantity (a) ln2+ln x

A: The given expression is,

Q: Condense the expression to the logarithm of a single quantity In x - [In(x 1) In(x - 1)1

A: The given logarithmic expression is,

Q: Condense the expression to the logarithm of a single quantity. [3 In(x + 5) + In(x) – In(x3 - 8)]

A:

Q: The change-of-base formula is often used to convert a logarithm to a ratio of logarithms with base…

A: The change of the base formula is often used to convert a logarithm to a ratio of logarithm with…

Q: Write the expression as a logarithm of a single quantity.                               2[ln x −…

A:

Q: what will be the value of x for the given logarithmic equation 10ln(x2-10)+2=8?

A:

Q: Find the solution of the exponential equation in terms of logarithms, or correct to four decimal…

A: To find the value of x in terms of logarithm.

Q: If log₁₀ x = 5, what is the value of x?

A:

Q: The change-of-base formula states that log, x can be written as a ratio of logarithms with base a as…

A: We have to change the base of the given logarithm  we have,  logbx

Q: .Condense the logarithmic expres 3 log5 3x + 2log5 (x - 2)

A:

Q: Use the laws of logarithms to simplify the expression. ln (x2)/ x1/2(1+x)3

A: Given,            lnx2x1/21+x3

Q: If log.32 = 5, what is the value of x?

A:

Q: Find the solution of the exponential equation 2x +1 25 n terms of logarithms, or correct to four…

A: Given that

Q: Write the expression as a logarithm of a single quantity.…

A:

Q: Write the expression as the logarithm of a single quantity                                3[ln x − 2…

A:

Q: [4 In(x + 8) + In(x) – In(x* - 9)]

A:

Q: What is the value (if any) of the following? log x as x--> 0+  log x-->

A: We first graph y=log x

Q: Condense the logarithmic expression. 3 ln x-1/4 ln y

A:

Q: Find x and express your answer in terms of natural logarithms. e 3X = 6

A:

Q: Condense the logarithmic expression. 2 In 5 + 2 In x – In y=||

A:

Q: Explain why the logarithm of 1 with base b is 0?

A: We have to prove that logb1=0 We know that a0=1 Taking log both sides, logba0=logb10 logba=logb1…

Q: Solve the logarithmic equation: log, (x + 1) + log, (x – 1) = 2. Round to the nearest tenth if…

A: Given logarithmic equation is log5x+1+log5x-1=2

Q: Condense the expression into the logarithm of a single quantity.

A: Given7[8ln(x)-ln(x+7)-ln(x-7)]where x>7

Q: Condense the expression to the logarithm of a single quantity. -3 In(4x)

A:

Q: Find the solution of the exponential equation 11- in terms of logarithms, or correct to four decimal…

A: