Math, asked by k775908, 5 months ago

if log x 100=2 then x = ?​

Answers

Answered by mobilegeniusm
0

Answer:

50

Step-by-step explanation:

100

50

after cancellation

u get the answer

50

Answered by pulakmath007
0

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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