5-2x-1-25-x-1-100-find-value-of-3-3-x-

Question Number 59730 by muneshkumar last updated on 14/May/19

5^{2 x - 1} = 25^{x - 1} + 100 f i n d v a l u e o f 3^{3 - x}

Answered by tanmay last updated on 14/May/19

\frac{5^{2 x}}{5} = {(5^{2})}^{x - 1} + 100

\frac{{(5^{x})}^{2}}{5} = \frac{5^{2 x}}{5^{2}} + 100

5^{x} = a

\frac{a^{2}}{5} = \frac{a^{2}}{25} + 100

\frac{a^{2}}{5} - \frac{a^{2}}{25} = 100

\frac{5 a^{2} - a^{2}}{25} = 100

4 a^{2} = 100 \times 25

a^{2} = {(\frac{10 \times 5}{2})}^{2} = 5^{4}

5^{2 x} = 5^{4}

2 x = 4

x = 2

s o

3^{3 - 2}

3^{3 - 2}

3^{1}

3

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