Maths / Exponents and Power / Statement Sums Involving Exponent and Power

QUESTION

$\dpi{120} \large 3^x^-^y=27$ and  $\dpi{120} \large 3^x^+^y=243,$  then x is equal to

 OPTIONS A. 0 B. 4 C. 2 D. 6
Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

$3^x^-^y=27$

$\Rightarrow 3^x^-^y=(3)^3$

$3^x^+^y=243$

$\Rightarrow 3^x^+^y=(3)^5$

x - y = 3     ....(Eq 1)

x + y = 5    .........(Eq 2)

Adding equation (Eq 1) and (Eq 2), we get,

2x = 8

$x=\frac{8}{2}$

$x=4$

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