What is the answer to 7^x=5 ?

The answer to 7^x=5 is x=(ln(5))/(ln(7))

The solution is x=(ln(5))/(ln(7))

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7^x=5

7^{x} = 5

x = \frac{ln ( 5 )}{ln ( 7 )}

Decimal Notation

x = 0.82708 \dots

Solution steps

7^{x} = 5

Apply exponent rules

x ln (7) = ln (5)

Solve

x ln (7) = ln (5) : x = \frac{ln ( 5 )}{ln ( 7 )}

x = \frac{ln ( 5 )}{ln ( 7 )}

7^{x} = 3

7^{x} = 2

7^{x} = 1

8^{x + 1} = 2^{2 x + 3}

(0.5)^{(\frac{9900}{x})} = 0.3