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Vanyuwa [196]
3 years ago
13

Write the equation in exponential form. Assume that all constants are positive and not equal to 1.

Mathematics
1 answer:
algol133 years ago
3 0

Answer:

1.     16 = 4^2

2.    2 = {16}^{\frac{1}{4}}

3.    log_2 y=z

Step-by-step explanation:

1.\ log_2 16=4

Write in exponential form

Using the law of logarithm which says if

log_b A=x

then

A = b^x

By comparison;

A = 16; b = 2 and x = 4

The expression log_2 16=4 becomes

16 = 4^2

2.\ log_{16} 2=\frac{1}{4}

Write in exponential form

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

A = 2; b = 16 and x = \frac{1}{4}

The expression log_{16} 2=\frac{1}{4} becomes

2 = {16}^{\frac{1}{4}}

3.\ 2^z=y

Write in logarithm form

Using the law of logarithm which says if

b^x =A

then

log_b A=x

By comparison;

b = 2; x = z and A = y

The expression 2^z=y becomes

log_2 y=z

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