Use logarithmic notation to represent the solution to each of the following equations. If there is no solution, enter "DNE". а. 7% 66 Preview 1 b. 7º = 343 Preview с. 5" - 70 Preview

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

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Q: Determine the value of æ that satisfies the following equation. log, (x + 12) + log, (x+6) = 2

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Q: Express the equation in logarithmic form. (a)    32x = 10   (b)    10−2x = 0.1

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Q: Express the given quantity as a single logarithm.  ln ( a+b)  +  ln (a- b) - 2 ln c

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Q: Express the equation in logarithmic form. (a)    32x = 10   b)   10−2x = 0.1

A: To express the given equations in logarithmic form.

Q: -Solve the following equation. log,(900)- log,(4x + 5) = 3 2. %3D

A: the solution is given below

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

A: According to the logarithmic formula , .

Q: +In 9 + In (x — 1) — 3 In (х) — In 4 |

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Q: x*dx + y C x-) dy =0

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Q: Express the equation in logarithmic form.

A: (a) Consider the equation 4x=70 To express this equation in logarithmic form, use below properties…

Q: Rewrite the equation y = 100(4.6)x in terms of base e.Express the answer in terms of a natural…

A: y = 100(4.6)x Important point: A = eln(A) ∵  Taking logarithm both the sides   ln A = ln eln(A)   ln…

Q: write the exponential equation as a logarithmicequation, or vice versa. ln 4.15 = 1.4231 . . .

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Q: Write the expression as a logarithm of a single quantity. 1 In(x + 2) – 2 In(1 + Vx) 2 In(3) +

A: We have to write the given expression as a logarithm of a single quantity   The given expression…

Q: Convert 6x = y to an equivalent statement involving a logarithm.

A: Given, 6x = y Aim to convert into equivalent statement involving a logarithm.

Q: Condense Conden se into a single logarithm. 4) 6log § x – 31og § y 4.

A: Given 6log8x-3log8y

Q: Solve the following equation. log5 x = -1

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Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

Q: Rewrite the equation y = 100(4.6)x in terms of base e. Express the answer in terms of a natural…

A: y = 100(4.6)x     Let 4.6 = ez    => ez = 4.6     => ln ez = ln 4.6    => z*ln e = ln 4.6…

Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve…

Q: express the equation in logarithmic form  a) 9^-1=1/9 b) 3^-2=1/9 c) e^x=8 d) e^5=y

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Q: Solve the following equation. log 2(7x + 5) = 6

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Q: Express as a single logarithm and, if possible, simplify. 3 1 ww 2 In 4x In 2y 30 5

A: Given: The logarithm expression 32ln 4x6-15ln 2y30 To find: Simplify the given expression as single…

Q: log, (x-5)+log,(x+3)=0

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Q: 2x-1 = 3x

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Q: Express the equation in logarithmic form. (a) ex = 6 (b) e2 = y

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Q: Solve the following equation. log 2 (8x + 4) = 4

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Q: Write the equation 13y = 874 in its equivalent logarithmic form.

A: Given: 13y=874 for writing given expression in terms of logarithmic from, we take log both side so,…

Q: Convert each logarithmic equation to the corresponding exponential e a. 4 = In(2x) Preview b. a + 2…

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Q: Combine into a singel logarithm 3/2In(x-y)-2In(x^2+y^2

A: Recall: lnmn = n lnm lnmn= lnm+lnn lnmn= lnm-lnn

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

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Q: Express the equation in exponential form. (a)    log9(3) = 1/2

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Q: Solve the following logarithmic equation. log(r - 10) = log(20) %3D log, (10)

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Q: Write as a single logarithm: 31n.r + 1 In y - 21n 3

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Q: Write as sum and difference of simpler logarithms. 1. In *(r-2)s V3x-4

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Q: Express the equation in logarithmic form. (a) ex+2 = 0.3 (b) e0.2x = t

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Q: Rewrite the equation y = 1000(7.3)x in terms of base e.Express the answer in terms of a natural…

A: Definition used -             Exponential growth equation -                            P(x)= P0ekx…

Q: Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. log 8x3=4

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Q: Rewrite the following log equation in exponential form: 5.9=ln(x/17)

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Q: Express the equation in logarithmic form. (a) ex = 7 (b) e4 = y

A: Take log on both sides of equation, .

Q: slove the following logarthemic equation: log2(5x)=4

A: Solution: Consider the given logarithmic function is log2 5x = 4 We have  logb M = n then M = bn…

Q: The final answer is written as a single logarithm.   7log(x)−8log(y)+2log(z)=

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Q: Solve the following logarithmic equation. Give the exact value for full credit. In (2x - 3) + 1 = 0

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Q: Express the equation in logarithmic form. (a) 52x = 20 (b) 10-3X = 0.01 %3D

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Q: Express the equation in logarithmic form.

A: We know that logab=b logalogab=loga-logblog10=1   Consider the given equation (A) 32x=10 Taking log…

Q: Write as a single logarithm and simplify if possible. 1. In(x²) – 4 In(y) – 61n(x³/2)+ 3ln(2y²)

A: This question can be solved using the properties of logarithm.

Q: Solve the following log equation exactly. If there are two answers, type in the smallest answer…

A: We can cancel the loga from both sides  So we get:

Q: Rewrite the equation y = 1000(7.3)x in terms of base e. Express the answer in terms of a natural…

A: Consider the provided equation, y=10007.3x Express the answer in terms of a natural logarithm in…