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Chapter 5: Q 18. (page 297)

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

log3(19)=-2

Short Answer

Expert verified

The equivalent exponential statement of the given logarithmic statement is 3-2=19.

Step by step solution

01

Step 1. Given information

A logarithmic statement is given aslog3(19)=-2.

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 log3(19)=-2.

Compare statement with y=loga(x).

x=19,a=3, and y=-2

So, the corresponding exponential statement is

3-2=19

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