What is the answer to 2^a=10 ?

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

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

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2^a=10

2^{a} = 10

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

Decimal Notation

a = 3.32192 \dots

Solution steps

2^{a} = 10

Apply exponent rules

a ln (2) = ln (10)

Solve

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

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

2^{x - 2} = 32

k (1)^{x} = 3

e^{- 0.5 x} = 6

1 3^{- 9 n} = 58

3 = 6 e^{- 0.5 x}