Question

If the logx 16 = 0.8, then what is the value of x?

a. 4

b. 2

c. 32

d. 16

Answer 1

Step-by-step explanation:

x^0.8=16

correct answer is 32.

Answer 2

$\sf If \: log_{x}16 = 0.8 \: then \: value \: of \: x \: is$ c. 32

Given : $\sf log_{x}16 = 0.8$

To find : The value of x

a. 4

b. 2

c. 32

d. 16

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is

$\sf log_{x}32 = 0.8$

Step 2 of 2 :

Find the value of x

$\sf log_{x}16 = 0.8$

$\displaystyle \sf{ \implies {x}^{0.8} = 16 }$

$\displaystyle \sf{ \implies {x}^{ \frac{8}{10} } = 16 }$

$\displaystyle \sf{ \implies {x}^{ \frac{4}{5} } = 16 }$

$\displaystyle \sf{ \implies x = {(16)}^{ \frac{5}{4} } }$

$\displaystyle \sf{ \implies x = {( {2}^{4} )}^{ \frac{5}{4} } }$

$\displaystyle \sf{ \implies x = {2}^{5} }$

$\displaystyle \sf{ \implies x = 32 }$

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