Find the value of a + b if $2^{a} + 5^{b} = 141$

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Solution

The correct option is B 7
$2^{1} = 2$ $5^{1} = 5$
$2^{2} = 4$ $5^{2} = 25$
$2^{3} = 8$ $5^{3} = 125$
$2^{4} = 16$
$2^{5} = 32$
$16 + 125 = 141$
$∴ 2^{4} + 5^{3} = 141$
a = 4, and b = 3
a + b = 7

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