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

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Solution

The correct option is B
7

141 can be written as shown
$16 + 125 = 141$

$16 = 2^{4} a n d 125 = 5^{3}$
$∴ 141 = 2^{4} + 5^{3}$

$\Rightarrow 2^{a} + 5^{b} = 2^{4} + 5^{3}$
$\Rightarrow$ a = 4, and b = 3
$∴$ a + b = 7

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Similar questions

2^{a} + 5^{b} = 141

2 a - 5 b = 0

\frac{a - b}{b}

a

b

[\begin{matrix} a + 3 & b^{2} + 2 0 & - 6 \end{matrix}] = [\begin{matrix} 2 a + 1 & 3 b 0 & b^{2} - 5 b \end{matrix}]

1960 = 2^{a} . 5^{b} . 7^{c}

a

a = 5 b = 8

(2 a + 5 b)

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