What is the answer to 5=10^x ?

The answer to 5=10^x is x=(ln(5))/(ln(10))

The solution is x=(ln(5))/(ln(10))

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5=10^x

5 = 1 0^{x}

x = \frac{ln ( 5 )}{ln ( 10 )}

Decimal

x = 0.69897 \dots

Solution steps

5 = 1 0^{x}

Apply exponent rules

ln (5) = x ln (10)

Solve

ln (5) = x ln (10) : x = \frac{ln ( 5 )}{ln ( 10 )}

x = \frac{ln ( 5 )}{ln ( 10 )}

2^{3 x + 2} = 256

25 = 5^{x}

243 = 3^{\frac{x}{10}}

2^{x + 2} - 2^{x} = 48

(\frac{1}{27})^{4 - x} = 9^{2 x - 1}