Write an equivalent exponential equation for: log_(2) ((1)/(4) ) = -2

Question

asked May 6, 2020 151k views

2 Answers

Volperossa · Answer 1 · 2020-05-07T22:32:21+0000

Answer:

(1)/(4) =2^(-2)

Explanation:

We are given the following expression and we are to write an equivalent exponential equation for it:

$log_2 (\frac { 1 } { 4 } ) = - 2$

We know that the standard form of a logarithmic expression is given by:

y = log_a ( x )

which is equivalent to the exponential form
x = a ^ y .

Therefore, for the given expression, the equivalent exponential equation will be:

$\frac { 1 } { 4 } = 2 ^ { - 2 }$

Itzhar · Answer 2 · 2020-05-12T15:33:25+0000

Answer:
(1)/(4)=2^((-2))

Explanation:

You know that an expression written is logarithmic form is:

x=log_b(y)

And an expression equivalent to the expression above that is written in exponential form is:

y=b^x

Therefore, keeping the information above on mind, you have that an equivalent exponential equation for
log_(2)((1)/(4)) =-2 , is the shown below:

(1)/(4)=2^((-2))