What is the answer to sqrt(7)^{sqrt(24-\sqrt{x)}}=49 ?

The answer to sqrt(7)^{sqrt(24-\sqrt{x)}}=49 is x=64

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sqrt(7)^{sqrt(24-\sqrt{x)}}=49

7^{24 - x} = 49

x = 64

Solution steps

(7)^{24 - x} = 49

Apply exponent rules

\frac{1}{2} 24 - x = 2

Solve

\frac{1}{2} 24 - x = 2 : x = 64

x = 64

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y, \frac{9 ^{x - 1}}{3 ^{y + 2}} = 81

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5^{2 x} + 5^{x} - 6 = 0

What is the answer to sqrt(7)^{sqrt(24-\sqrt{x)}}=49 ?
The answer to sqrt(7)^{sqrt(24-\sqrt{x)}}=49 is x=64
Solve for x: sqrt(7)^{sqrt(24-\sqrt{x)}}=49
The solution is x=64