Question

please help me

Solve each of the following exponential equations

(i)
${7}^{x} = 343$
(ii)
${2}^{x - 3} = 1$
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Answer 1

$\huge{\bigstar{\underline {\red{\mathfrak{Question}}}}}$

Solve the equation in exponential equation.

$\sf{(i) {7}^{x} = 343}$

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$\mathfrak{\underline{\underline{\large{Answer:-}}}}$

$\sf{=> {7}^{x} = {7}^{3} }$

When bases are the same, we equate powers.

$\huge{\sf{\pink{\fbox{Therefore, x = 3}}}}$

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$\huge{\bigstar{\underline {\red{\mathfrak{Question}}}}}$

Solve the equation in exponential equation.

$\sf{(ii) {2}^{x - 3} = 1}$

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$\mathfrak{\underline{\underline{\large{Answer:-}}}}$

$\sf{ {2}^{x - 3} = {2}^{0}}$

When bases are the same, we equate powers.

$\sf{=> x-3=0}$

$\sf{=> x = 0+3}$

$\huge{\sf{\pink{\fbox{Therefore, x = 3}}}}$

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