Question

$log_{0.01}(10000) = x$
find x​

Answer 1

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$\huge \underline \mathfrak \green{solution:-}$

$\red\longrightarrow\tt log_{0.01}(10000)=x$

$\red\longrightarrow\tt log_{ \frac{1}{100} }( {10}^{4} ) =x$

$\red\longrightarrow\tt log_{ \frac{1}{ {10}^{2} } }( {10}^{4} )=x$

$\red\longrightarrow\tt log_{ {10}^{ - 2} }( {10}^{4} )=x$

$\red\longrightarrow\tt \frac{ \: \: \: 4}{ -2} log_{10}(10) =x$

$\red\longrightarrow\tt \frac { - 4}{ \: \: \: 2} \times 1=x$

$\red\longrightarrow\tt - \frac {4}{2}=x$

$\red\longrightarrow\tt x= -\frac {4}{2}$

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Answer 2

Answer:

-2

Step-by-step explanation:

10000=(.01)^x

x=-2

here^for power ok