What is the answer to 4=10^x ?

The answer to 4=10^x is x=(2ln(2))/(ln(10))

The solution is x=(2ln(2))/(ln(10))

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4=10^x

4 = 1 0^{x}

x = \frac{2 ln ( 2 )}{ln ( 10 )}

Decimal Notation

x = 0.60205 \dots

Solution steps

4 = 1 0^{x}

Apply exponent rules

ln (4) = x ln (10)

Solve

ln (4) = x ln (10) : x = \frac{2 ln ( 2 )}{ln ( 10 )}

x = \frac{2 ln ( 2 )}{ln ( 10 )}

2 5^{x - 2} = 12 5^{x - 1}

3^{x - 2} = 5

\frac{6 ^{10}}{6 ^{x}} = 6^{6}

1.728 = 1. 2^{x}

3^{4 - 5 x} = 2^{x + 4}