   Chapter 0.8, Problem 52E

Chapter
Section
Textbook Problem

In Exercises 47–56, solve the given equation for the indicated variable. 3 x 2 − 12 = 1 27

To determine

To calculate: The value of x in equation, 3 x 2 12 =1 27 .

Explanation

Given information:

The equation is 3 x 2 12 =1 27 .

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:

Consider the equation,

3 x 2 12 =1 27

Simplify further

3 x 2 12 =27 1

Take the log base 3 of both sides

log 3 3 x 2 12 =log 3 27 1

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

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