What is the answer to 8^a=23 ?

The answer to 8^a=23 is a=(ln(23))/(3ln(2))

The solution is a=(ln(23))/(3ln(2))

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8^a=23

8^{a} = 23

a = \frac{ln ( 23 )}{3 ln ( 2 )}

Decimal Notation

a = 1.50785 \dots

Solution steps

8^{a} = 23

Apply exponent rules

a ln (8) = ln (23)

Solve

a ln (8) = ln (23) : a = \frac{ln ( 23 )}{3 ln ( 2 )}

a = \frac{ln ( 23 )}{3 ln ( 2 )}

t, e^{- 0.2 t} = 4

3^{3 x - 2} = 1

2^{x + 1} = 8192

- e^{- x} + 2 e^{- 2 x} = 0

x, y - 3 = 4 \cdot 2 5^{x + 1}