Question

if log x 100=2 then x = ?​

Answer 1

Answer:

50

Step-by-step explanation:

100

50

after cancellation

u get the answer

50

Answer 2

The value of x = 10

Correct question : $\displaystyle \sf{ If \: log_{x}100 = 2 \: \:then \:x =? }$

Given :

$\displaystyle \sf{ log_{x}100 = 2 }$

To find :

The value of x

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

$\displaystyle \sf{ log_{x}100 = 2 }$

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ log_{x}100 = 2 }$

$\displaystyle \sf{ \implies {x}^{2} = 100 \: \: \: \bigg[ \: \because \: log_{m}(n) = a \: implies \: n = {m}^{a} \bigg] }$

$\displaystyle \sf{ \implies {x}^{2} = {10}^{2} }$

$\displaystyle \sf{ \implies x = 10}$

Hence the required value of x = 10

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