What is the answer to 2^{x/(15)}=10 ?

The answer to 2^{x/(15)}=10 is x=(15ln(10))/(ln(2))

Solve for x: 2^{x/(15)}=10

The solution is x=(15ln(10))/(ln(2))

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2^{\frac{x}{15}} = 10

x = \frac{15 ln ( 10 )}{ln ( 2 )}

Decimal Notation

x = 49.82892 \dots

Solution steps

2^{\frac{x}{15}} = 10

Apply exponent rules

\frac{x}{15} ln (2) = ln (10)

Solve

\frac{x}{15} ln (2) = ln (10) : x = \frac{15 ln ( 10 )}{ln ( 2 )}

x = \frac{15 ln ( 10 )}{ln ( 2 )}

x = e^{\frac{( x l n ( 2 ) )}{2}}

4 9^{x} \cdot 7^{x^{2}} = 240 1^{2}

2500 = 5000 e^{100 x}

3^{2 x} = 2

3^{3 x - 7} = \frac{1}{81}

What is the answer to 2^{x/(15)}=10 ?
The answer to 2^{x/(15)}=10 is x=(15ln(10))/(ln(2))
Solve for x: 2^{x/(15)}=10
The solution is x=(15ln(10))/(ln(2))