What is the answer to 1600=10^x ?

The answer to 1600=10^x is x=(2ln(40))/(ln(10))

Solve for x: 1600=10^x

The solution is x=(2ln(40))/(ln(10))

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1600 = 1 0^{x}

x = \frac{2 ln ( 40 )}{ln ( 10 )}

Decimal Notation

x = 3.20411 \dots

Solution steps

1600 = 1 0^{x}

Apply exponent rules

ln (1600) = x ln (10)

Solve

ln (1600) = x ln (10) : x = \frac{2 ln ( 40 )}{ln ( 10 )}

x = \frac{2 ln ( 40 )}{ln ( 10 )}

4^{3 x} = 8^{x + 1}

(2^{x^{2} - 2 x})^{4 - x} = 1

100 0^{x} = 10

2 \times 5^{x} = 250

What is the answer to 1600=10^x ?
The answer to 1600=10^x is x=(2ln(40))/(ln(10))
Solve for x: 1600=10^x
The solution is x=(2ln(40))/(ln(10))