Question

if 5 raise to x -3 = 1 , x = ?​

Answer 1

Answer:

4

mark me brainleist please

Answer 2

$\small\colorbox{lightyellow} {\text{ \bf♕ Brainliest answer }}$

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Use Definition of Common Logarithm: $\rm {b}^{a}=x$ if and only if $\rm \log_b(x)=a$

$\rm\ x-3=\log_{5}{1}$

Use Change of Base Rule: $\rm\log_{b}{x}=\dfrac{\log_{a}{x}}{\log_{a}{b}}$

$\rm x-3=\dfrac{\log{1}}{\log{5}}$

$\rm\ x-3=\dfrac{0}{\log{5}}$

$\rm\ x - 3 = 0$

$\pmb{ \boxed{\color{green} \rm x = 3}}$