What is the answer to 75=15^x ?

The answer to 75=15^x is x=(ln(75))/(ln(15))

The solution is x=(ln(75))/(ln(15))

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75=15^x

75 = 1 5^{x}

x = \frac{ln ( 75 )}{ln ( 15 )}

Solution steps

75 = 1 5^{x}

Apply exponent rules

ln (75) = x ln (15)

Solve

ln (75) = x ln (15) : x = \frac{ln ( 75 )}{ln ( 15 )}

x = \frac{ln ( 75 )}{ln ( 15 )}

2^{2 x} + 64 = 20 (2^{x})

4^{x + 1} = 2

8 (2^{2 x}) - 129 (2^{x}) + 16 = 0

2^{2 b - 3} = 32

2^{x - 4} = 7^{x}