Question

8 to power x - 8 to power x-1 = 56​

Answer 1

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• Solve the given equation and find the value of x.

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$\sf {8}^{x} - {8}^{x - 1} = 56$

$\sf \implies {8}^{x} - {8}^{x} \times {8}^{ - 1} = 56$

$\sf \implies {8}^{x} (1 - {8}^{ - 1} ) = 56$

$\sf \implies {8}^{x} (1 - \frac{1}{8} ) = 56$

$\sf \implies {8}^{x} ( \frac{7}{8} ) = 56$

$\sf \implies {8}^{x} = 56 \times \frac{8}{7}$

$\sf \implies {8}^{x} = {8}^{2}$

Comparing base, we get,

$\sf \implies x = 2$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• The value of x is 2.

Answer 2

^(X+1 )=64.

8^(X+1)=

8^2.

Since bases are equal,

Powers are also equal.

X+1=2.

X=1.

Now,.

3^(2X+1)

=3^(2(1)+1).