What is the answer to 5=1.07^x ?

The answer to 5=1.07^x is x=(ln(5))/(ln(1.07))

Solve for x: 5=1.07^x

The solution is x=(ln(5))/(ln(1.07))

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5 = 1.0 7^{x}

x = \frac{ln ( 5 )}{ln ( 1.07 )}

Decimal Notation

x = 23.78761 \dots

Solution steps

5 = 1.0 7^{x}

Apply exponent rules

ln (5) = x ln (1.07)

Solve

ln (5) = x ln (1.07) : x = \frac{ln ( 5 )}{ln ( 1.07 )}

x = \frac{ln ( 5 )}{ln ( 1.07 )}

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

3^{2 x} - 7 \cdot 3^{x} - 18 = 0

2 5^{2 x + 1} = (\frac{1}{9})^{3 x}

2 x + 4^{x} = 6

4^{- 2 x + 2} = 1 6^{x - 3}