What is the answer to 3^x=45 ?

The answer to 3^x=45 is x=(ln(45))/(ln(3))

The solution is x=(ln(45))/(ln(3))

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3^x=45

3^{x} = 45

x = \frac{ln ( 45 )}{ln ( 3 )}

Decimal Notation

x = 3.46497 \dots

Solution steps

3^{x} = 45

Apply exponent rules

x ln (3) = ln (45)

Solve

x ln (3) = ln (45) : x = \frac{ln ( 45 )}{ln ( 3 )}

x = \frac{ln ( 45 )}{ln ( 3 )}

8^{y} = 16

9 \cdot 3^{4} \cdot 3^{x} = 3^{7}

3^{x} = - 6

2^{p} = \frac{1}{8 ^{4}}

3^{x} = 36