What is the answer to 5^m-4(3^m)=0 ?

The answer to 5^m-4(3^m)=0 is m=(2ln(2))/(ln(5)-ln(3))

Solve for m: 5^m-4(3^m)=0

The solution is m=(2ln(2))/(ln(5)-ln(3))

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5^{m} - 4 (3^{m}) = 0

m = \frac{2 ln ( 2 )}{ln ( 5 ) - ln ( 3 )}

Decimal Notation

m = 2.71383 \dots

Solution steps

5^{m} - 4 (3^{m}) = 0

Add

4 \cdot 3^{m}

to both sides

5^{m} - 4 \cdot 3^{m} + 4 \cdot 3^{m} = 0 + 4 \cdot 3^{m}

Simplify

5^{m} = 4 \cdot 3^{m}

Apply exponent rules

m ln (5) = ln (4) + m ln (3)

Solve

m ln (5) = ln (4) + m ln (3) : m = \frac{2 ln ( 2 )}{ln ( 5 ) - ln ( 3 )}

m = \frac{2 ln ( 2 )}{ln ( 5 ) - ln ( 3 )}

4^{(x + 1)} + 2^{(x + 3)} = 320

3^{l o g_{3} (x - 2)} = 5

3^{2 x + 1} = 9

x, 2^{x + y} = 1

y, 7^{x - 1} = e^{y}

What is the answer to 5^m-4(3^m)=0 ?
The answer to 5^m-4(3^m)=0 is m=(2ln(2))/(ln(5)-ln(3))
Solve for m: 5^m-4(3^m)=0
The solution is m=(2ln(2))/(ln(5)-ln(3))