What is the answer to 3^x=14 ?

The answer to 3^x=14 is x=(ln(14))/(ln(3))

The solution is x=(ln(14))/(ln(3))

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3^x=14

3^{x} = 14

x = \frac{ln ( 14 )}{ln ( 3 )}

Decimal Notation

x = 2.40217 \dots

Solution steps

3^{x} = 14

Apply exponent rules

x ln (3) = ln (14)

Solve

x ln (3) = ln (14) : x = \frac{ln ( 14 )}{ln ( 3 )}

x = \frac{ln ( 14 )}{ln ( 3 )}

3^{x} = 12

p = (((1 0^{15})^{2})^{p})^{8} + 4^{3^{2^{0}}}

a, 2^{a} = 7^{b}

5^{x - 3} \cdot 3^{2 x} - 8 = 225

5 (3^{2 x - 1}) = 243