What is the answer to 10^x=16 ?

The answer to 10^x=16 is x=(4ln(2))/(ln(10))

The solution is x=(4ln(2))/(ln(10))

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10^x=16

1 0^{x} = 16

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

Decimal Notation

x = 1.20411 \dots

Solution steps

1 0^{x} = 16

Apply exponent rules

x ln (10) = ln (16)

Solve

x ln (10) = ln (16) : x = \frac{4 ln ( 2 )}{ln ( 10 )}

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

2^{3 x + 7} = 32

2 = (1 + \frac{0.1}{52})^{52 t}

8^{x - 5} = 16

2^{2 x} + 2^{x + 2} = 12

6^{1 - 4 x} = 5^{x}