What is the answer to 83=15^x ?

The answer to 83=15^x is x=(ln(83))/(ln(15))

The solution is x=(ln(83))/(ln(15))

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83=15^x

83 = 1 5^{x}

x = \frac{ln ( 83 )}{ln ( 15 )}

Decimal

x = 1.63174 \dots

Solution steps

83 = 1 5^{x}

Apply exponent rules

ln (83) = x ln (15)

Solve

ln (83) = x ln (15) : x = \frac{ln ( 83 )}{ln ( 15 )}

x = \frac{ln ( 83 )}{ln ( 15 )}

50 = \frac{160}{1 + 7 e ^{- 0.3 t}}

x 4 = 2

4^{x} = 8^{x - 5}

x, f (x - 9) = 8^{x}

5^{x^{2} - 2 x} = 125