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Chapter 5: Q. 14 (page 297)

Change the given exponential statement to an equivalent statement involving a logarithm.

3x=4.6

Short Answer

Expert verified

The equivalent logarithmic statement of the given exponential statement is x=log3(4.6)

Step by step solution

01

Step 1. Given information

An exponential equation is given as3x=4.6

02

Step 2. Formula

The exponential statement x=aycan be changed into a logarithmic function asy=loga(x)

03

Step 3. Simplification

The exponential statement is 4.6=3x.

Compare statement with x=ay.

x=4.6,a=3, and y=x

So, the corresponding logarithmic statement is

x=log3(4.6)

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