Question

Help Me * * * * * * * * * * * *
Solve Logx (2) = - 1 and find the value of x
And also provide me all the basic property's of logarithms.


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Answer 1

$\Large\bold{\underline{\underline{Answer:-}}}$

$\Large\bold{\boxed{\boxed{x=\frac{1}{2} }}}$

$\rule{200}{2}$

$\bf\small\bold{\underline{\underline{Step-By-Step\:Explanation:-}}}$

$\bf\: log_{x}2 = - 1$

✭Exponentially✭

$\sf \implies x^{ - 1} = 2$

$\boxed{ \bf \because If \: log_{a}N = x \: then \: a^x =N}$

$\sf \implies \dfrac{1}{x^1} = 2$

$\boxed{ \bf \because a^{ - n} = \dfrac{1}{a^n } }$

$\sf \implies \dfrac{1}{x} = 2$

$\sf \implies \dfrac{x}{1} = \dfrac{1}{2} \\ \\ \\ \sf \implies x = \dfrac{1}{2} \\ \\ \\ \bf \therefore x = \dfrac{1}{2}$

✭Exponential Law✭

$\tt \longrightarrow a^{ - n} = \dfrac{1}{a^n }$

Properties of logarithms are in attachment

Answer 2

Answer:

Hi Here is your answer dear!!

Check out the attachment

According to exponential law =

$\huge \bold{a {}^{-n} = \frac{1}{a {}^{ - n} } }$

$log_{x}(2) = - 1 \\ \\ \frac{1}{x} = 2 \\ \\ x = \frac{1}{2}$

Check out the attachment for basic properties!!

Be Brainly!!!