What is the answer to 2=10^{2a} ?

The answer to 2=10^{2a} is a=(ln(2))/(2ln(10))

Solve for a: 2=10^{2a}

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

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2 = 1 0^{2 a}

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

Decimal Notation

a = 0.15051 \dots

Solution steps

2 = 1 0^{2 a}

Apply exponent rules

ln (2) = 2 a ln (10)

Solve

ln (2) = 2 a ln (10) : a = \frac{ln ( 2 )}{2 ln ( 10 )}

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

6^{x} = e^{x + 1}

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

2^{5 x - 1} = 16

5^{x + 1} = 25 \cdot 5^{2 x}

4^{x + 2} + 1 6^{x} = 8

What is the answer to 2=10^{2a} ?
The answer to 2=10^{2a} is a=(ln(2))/(2ln(10))
Solve for a: 2=10^{2a}
The solution is a=(ln(2))/(2ln(10))