Answered: Rewrite the equation y = 2.5(0.7)x in…

Rewrite the equation y = 2.5(0.7)x in terms of base e.Express the answer in terms of a natural logarithm and then round to three decimal places.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 19PT: Rewrite 163x5=1000 as a logarithm. Then applythe change of base formula to solve for x using...

See similar textbooks

Related questions

Q: Change the exponential statement to an equivalent statement involving a logarithm. a3 =2.1

A: It is known that exponential functions and logarithmic functions are inverse functions. So, this…

Q: Rewrite the equation y = 4.5(0.6)x in terms of base e. Express the answer in terms of a natural…

A: The given equation is The exponential form with natural base e is Compare the above equations…

Q: Convert to a logarithmic equation.

Q: Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to…

A: Let we assume that y=log321

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 . . .

Q: Rewrite y = 96(0.38)x in terms of base e. Express the answer in terms of a natural logarithm and…

A: Given Y=96 0.38xWe know thatelnea=a∴ 0.38x=elne(0.38)x

Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: Consider the provided logarithm function, log58 Use the Change-of-Base Formula and a calculator to…

Q: Use the Change-of-Base Formula and a calculator to evaluate each logarithm.Round your answer to…

A: log419

Q: Use a change-of-base formula to evaluate each logarithm. (Round your answers to four decimal…

Q: Below is a logarithmic equation, with numbers (represented here as letters z and y) that are…

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: Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to…

A: Given expression: logπe

Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: We have to find the value of log2 7.

Q: Use the Change of Base Formula to evaluate the logarithm, rounded to six decimal places. log9 0.28

A: Our Aim is to evaluate the logarithm given below:-log9 (0.28)-(i) using change of base formula.

Q: Use the Change-of-Base Formula and a calculator to evaluate log4 19. Round your answer to three…

A: To evaluate log419 using Change of base formula. Solution: Change of base formula is:…

Q: Rewrite y = 4(7.8)x in terms of base e. Express the answer in terms of a natural logarithm and then…

Q: Rewrite the logarithm as an exponential equation. In(x) = 4 O e =x* x = e* x = 4° e* = 4

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: Find the solution of the exponential equation e2a +1 in terms of logarithms, or correct to four…

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

Q: Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to…

A: Given: log518

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: Write an equivalent exponential equation for the following common logarithm below: log 1000 = 3

A: Given, log 1000 = 3

Q: Use the Change of Base Formula to evaluate the logarithm, rounded to six decimal places. log7 (3/4)

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to…

A: Consider: log1371. Apply change of base formula: logab=logcblogca, here c belongs to the domain of…

Q: Use the change-of-base formula to find the logarithm to four decimal places. log1/8 9

A: Use the change-of-base formula to find the logarithm to four decimal places.…

Q: I. Express each exponential equation in its equivalent logarithmic equation. 2. 3 = n

Q: x log d- log g

A: Given: x log d-log g

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

Q: Rewrite y = 96(0.38)* in terms of base e. Express the answer in terms of a natural logarithm and…

A: Solution:Given y=96(0.38)x To express in natural logarithm.

Q: Convert to a logarithmic equation. e -3 = t

A: Given : e-3 = t

Q: Find the solution of the exponential equation 100(1.06)t = 500, 000 in terms of logarithms, or…

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: Given: 273 = 3. Write the exponential equation in logarithmic form:

Q: Use a change-of-base formula to evaluate each logarithm. (Round your answers to four decimal…

A: To compute the given logarithms by using base change

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: Change the exponential statement to an equivalent statement involving a logarithm. a2 =1.6

A: a2=1.6We know that a logarithmic equation is used to rewrite an exponential equation.And such type…

Q: Use the Change of Base Formula to evaluate the logarithm, rounded to six decimal places. log100 250

A: Given expression is log100250. To evaluate the value of given logarithm expression using change base…

Q: 25. 2-3 %3D 1/8

Q: Evaluate the Logarithm using the change of base formula. Round your answer to the nearest tenth.…

A: Using Change of base logarithm formula, we calculate the given problem.

Q: Rewrite the equation y = 4.5(0.6)x in terms of base e.Express the answer in terms of a natural…

A: Our Aim is to re-write the equation y=4.5(0.6)x-(i) in terms of base e and to express the answer in…

Q: Use the change-of-base formula and a calculator to approximate the given logarithm. Round to 4…

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 the equation in its equivalent logarithmic form: ey = 9.

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

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

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…

Question

Rewrite the equation y = 2.5(0.7)^x in terms of base e.Express the answer in terms of a natural logarithm and then round to three decimal places.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Transcendental Expression$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.