   Chapter 0.8, Problem 49E

Chapter
Section
Textbook Problem

In Exercises 47–56, solve the given equation for the indicated variable. 27 = 3 2 x − 1

To determine

To calculate: The value of x in equation, 27=3 2x1 .

Explanation

Given information:

The equation is, 27=3 2x1

Formula used:

The logarithmic identity,

log a a=1

and log a b m =mlog a b

Here, a, m and b are real number.

Calculation:

The given equation is

27=3 2x1

Take the log base 3 of both sides

log 3 27=log 3 3 2x1

Now apply the logarithmic identity, log a b m =mlog

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