What is the answer to 2^n=10 ?

The answer to 2^n=10 is n=(ln(10))/(ln(2))

The solution is n=(ln(10))/(ln(2))

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2^n=10

2^{n} = 10

n = \frac{ln ( 10 )}{ln ( 2 )}

Decimal Notation

n = 3.32192 \dots

Solution steps

2^{n} = 10

Apply exponent rules

n ln (2) = ln (10)

Solve

n ln (2) = ln (10) : n = \frac{ln ( 10 )}{ln ( 2 )}

n = \frac{ln ( 10 )}{ln ( 2 )}

2^{3 x} - 2^{x} = 120

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

8 1^{2 x + 3} = 9^{3 x + 1}

2^{2 x - 1} = 8

2^{n} = 64