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Chapter 10: Q. 472 (page 1068)

In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places.

15x=9

Short Answer

Expert verified

The exact answer is -1.365212and approximated answer is -1.365.

Step by step solution

01

Step 1. Given Information 

We are given an expression 15x=9.

Use properties of logarithm to solve the given equation.

02

Step 2. Solving the expression

Taking logarithm on both sides, we get

ln15x=ln9

Using power property of logarithm, we get

xln15=ln9x=ln9ln15x=-1.365212x=-1.365

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Most popular questions from this chapter

In the following exercises, determine whether or not the given functions are inverses.

f(x)=x-9andg(x)=x+9

Convert from exponential to logarithmic form:

10-2=1100.

In the following exercises, solve each equation.

4x+3=16

In the following exercises, find the inverse of each function.

f(x)=7x-1

Verify that the functions are inverse functions.

f(x)=2x+6

g(x)=x-62
See all solutions

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