Use the equation D 10(log + 16), where Dis the number of decibels of a sound and is the intensity of the sound in watts per square centimeter. (Enter your answer in scientific notation. Round the intensity to two decimal places.) Suppose the noise a certain animal makes is approximately 23 decibels. What is the intensity, in watts per square centimeter, of 23 decibels? 10 watta/cm?

Q: Which of the following is an equivalent fact to the equation log2 (x) = 4? a) /2* -4 = X O b) x4 =…

A: Given, log2x = 4 We have to find the equivalent expression of log2x = 4.

Q: not sure if my answer is correct

A: Given equation is We will use the following results Therefore, we have

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

A:

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

A: According to the logarithmic formula , .

Q: write the exponential equation as a logarithmicequation, or vice versa. e−2 = 0.1353 . . .

A:

Q: Simplify the following without using a calculator. a. log39 b. log216 c. 5log(x+y) d. logpi1

A: We will try to write the number inside log as an exponent of the given base.  a) 9=3x3=32, we use…

Q: Condense the expression log3 5x − 4 log3 x to the logarithm of a single quantity.

A:

Q: Condense the expression to the logarithm of a single quantity. -2 log6 3x

A:

Q: What is the base of the logarithm in the expression log(2x + 7) - 5 A. 1 B. 10 C. 0 D. e E. -2…

A: Given : log2x+7-5

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

A:

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: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

A:

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

A:

Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm.

Q: Given that log 3 = x,what is log 300 in terms of x? Select one: a. x + 10 O b. x + 100 о с. х + 2

A: Provided information is, log 3 = x On solving, x = 0.4771 And log 300 = 2.4771  log 300 - log 3 = 2…

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: 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: Given: log8(5) = b. Express log4(10) in terms of b

A: To simplify the expression log4(10).

Q: Evaluate the expression without using a calculator.

A: Evaluate the expression without using a calculator. loga1a using the logarithmic property.…

Q: Rewrite the equation y = 73(2.6)x in terms of base e. Express the answer in terms of a natural…

A:

Q: Rewrite the equation y = 6.5(0.43)x in terms of base e. Express the answer in terms of a natural…

A: Given- y=6.50.43x To find-  Rewrite the given equation in terms of base e, express the answer in…

Q: What is the value of x in log; (2x-3) = 4? A. 42 B. 31 C. 8 D. 5

A: Given  log32x-3 = 4 We have to find the value of x.

Q: 32. –8log, x = 16

A:

Q: If log: 16 = x, what is the value of x? Enter your answer as the correct value rounded to the…

A: If log1216=x  we have to find the value of x

Q: Express the equation in exponential form. (a) log5(25) = 2 (b) log5(1) = o

A: Using logarithm properties,we get

Q: Express the equation in logarithmic form. (a) 4-3/2 = 0.125 (b) 83 = 512

A: Given:  a) 4-32=0.125 b) 83=512 To find: Express the equations in logarithmic form

Q: Decide whether the statement is true or false. - 5 is a solution of log 325 = 2log 3x.

A: Formula

Q: Write the equation in its equivalent logarithmic form: 8y = 300

A: The given equation is  8y = 300

Q: What is the exponential form of the equation log, 10 = 2x - 1? A 102x-1 = 5 B 10 = 2x - 1 510 = 2x -…

A:

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

A:

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

A:

Q: Condense to a single logarithm with a leading coefficient of 1. log8(x) + logg(3) + logg(y) +…

A:

Q: What is the value of log(10-3) A E 4 B +1 F -1 C +2 -2 +3 -3 D

A:

Q: Use the Change of Base Formula to evaluate  log15(37).  (Round your answer to three decimal…

A: The change of base formula of logs means we can find the logarithm of a number using any base simply…

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

A:

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

A:

Q: |4. Use your calculator to find the value of x. a. log 1,750 = x

A: We plug log(1750) in the calculator

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: Condense the expression to the logarithm of a single quantity.                   1/4[log7…

A: The expression 14log7t+3log71-t-log7(7+t), we have to condense this expression to the logarithm of a…

Q: ‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ Condense the expression to the logarithm of a single quantity. - log,(z - 6)

A: Solved below

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

A:

Q: Solve the equation log5 x2 = 4.1 accurate to three decimal places.

A: Solve the equation log5 x2 = 4.1 accurate to three decimal places.

Q: Given log,4 1.262 and log37 2 1.771, what is the value of log3 G? Enter your answer in the box. Use…

A:

Q: Use the fact that: loga (x) = -3.4, loga (y) = 4.3, and loga (z) = 6.2 to evaluate the following:…

A:

Q: Rewrite e^−2.2=h as an equivalent logarithmic equation.

A: Given: h=e-2.2   To Find: write in logarithm form.

Q: What is the exact solution to the equation 10" = 97? Enter your answer in the box. x = log

A:

Q: What is the solution to log,(x + 25) = 0? F 24 G -25 н -20 J -24 H

A: Topic- log and simplification

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…