Write the equation in exponential form. Assume that all constants are positive and not equal to 1. 1) log2 16=4
2) log16 2=1/4
Write the equation in logarithmic form. Assume that all variables are positive and not equal to 1.
2^z=y

The given equations written in exponential or logarithmic form as the case is is;

1) 2⁴ = 16

2)16^(¼) = 2

3) Log_2_y = z

Usually in logarithmic exponential functions expressions;

When we have;

Log_n_Y = 2

It means that; n² = Y

Applying that same principle to our question means that;

1) log_2_16 = 4

This will now be;

2⁴ = 16

2) log_16_2 = ¼

This will now be;

16^(¼) = 2

3) For 2^(z) = y

We have;

Log_2_y = z

Read more about properties of logarithmic exponents at; link

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2.    

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Step-by-step explanation:

Write in exponential form

Using the law of logarithm which says if

then

By comparison;

A = 16; b = 2 and x = 4

The expression becomes

Write in exponential form

Applying the same law as used in (1) above;

A = 2; b = 16 and

The expression becomes

Write in logarithm form

Using the law of logarithm which says if

then

By comparison;

b = 2; x = z and A = y

The expression becomes