What is the answer to 3^{2+m}=45 ?

The answer to 3^{2+m}=45 is m=(ln(45))/(ln(3))-2

Solve for m: 3^{2+m}=45

The solution is m=(ln(45))/(ln(3))-2

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3^{2 + m} = 45

m = \frac{ln ( 45 )}{ln ( 3 )} - 2

Decimal Notation

m = 1.46497 \dots

Solution steps

3^{2 + m} = 45

Apply exponent rules

(2 + m) ln (3) = ln (45)

Solve

(2 + m) ln (3) = ln (45) : m = \frac{ln ( 45 )}{ln ( 3 )} - 2

m = \frac{ln ( 45 )}{ln ( 3 )} - 2

5^{x} = - 4

n, 2 (x)^{n} = (2 x)^{n}

x e^{3 x} - 1 = 3

3. 4^{x} - 7 = 185

2^{x + 7} = 8^{x + 2}

What is the answer to 3^{2+m}=45 ?
The answer to 3^{2+m}=45 is m=(ln(45))/(ln(3))-2
Solve for m: 3^{2+m}=45
The solution is m=(ln(45))/(ln(3))-2