What is the answer to 1.04^x=5 ?

The answer to 1.04^x=5 is x=(ln(5))/(ln(1.04))

Solve for x: 1.04^x=5

The solution is x=(ln(5))/(ln(1.04))

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1.0 4^{x} = 5

x = \frac{ln ( 5 )}{ln ( 1.04 )}

Decimal Notation

x = 41.03540 \dots

Solution steps

1.0 4^{x} = 5

Apply exponent rules

x ln (1.04) = ln (5)

Solve

x ln (1.04) = ln (5) : x = \frac{ln ( 5 )}{ln ( 1.04 )}

x = \frac{ln ( 5 )}{ln ( 1.04 )}

2^{x} = 5^{x + 1}

\frac{5 ^{x} 0. 8 ^{x - 1}}{x} = 500

2. 4^{x} = 8^{x}

(k + 1) 2^{k} = 32

\frac{1}{2 ^{x - 4}} - \frac{1}{2 ^{x - 2}} = 3