What is the answer to 4^x=14 ?

The answer to 4^x=14 is x=(ln(14))/(2ln(2))

The solution is x=(ln(14))/(2ln(2))

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4^x=14

4^{x} = 14

x = \frac{ln ( 14 )}{2 ln ( 2 )}

Decimal Notation

x = 1.90367 \dots

Solution steps

4^{x} = 14

Apply exponent rules

x ln (4) = ln (14)

Solve

x ln (4) = ln (14) : x = \frac{ln ( 14 )}{2 ln ( 2 )}

x = \frac{ln ( 14 )}{2 ln ( 2 )}

x, (d^{3} - d) = e^{x}

7^{2 x} - 56 (7^{x}) + 343 = 0

3^{2 x} = 1000

4 9^{x} - 6 \cdot 7^{x} + 5 = 0

t, e^{t^{2}} = 4