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Chapter 5: Q 19. (page 297)

Change the given logarithmic statement to an equivalent statement involving an exponent.

loga3=6

Short Answer

Expert verified

The equivalent exponential statement of the given logarithmic statement is a6=3

Step by step solution

01

Step 1. Given information

A logarithmic statement is given asloga3=6.

02

Step 2. Formula Used

The logarithmic function y=loga(x) can be changed into an exponential statement as x=ay.

03

Step 3. Conversion

The logarithmic statement is loga3=6.

Compare statement with y=loga(x).

x=3,a=a, andy=6

So, the corresponding exponential statement is

a6=3

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