What is the answer to (ln(2))/(ln(a))=11 ?

The answer to (ln(2))/(ln(a))=11 is a=e^{(ln(2))/(11)}

Solve for a: (ln(2))/(ln(a))=11

The solution is a=e^{(ln(2))/(11)}

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\frac{ln ( 2 )}{ln ( a )} = 11

a = e^{\frac{l n ( 2 )}{11}}

Decimal Notation

a = 1.06504 \dots

Solution steps

\frac{ln ( 2 )}{ln ( a )} = 11

Rewrite the equation with

ln (a) = u

\frac{ln ( 2 )}{u} = 11

Solve

\frac{ln ( 2 )}{u} = 11 : u = \frac{ln ( 2 )}{11}

u = \frac{ln ( 2 )}{11}

Substitute back

u = ln (a),

solve for

a

Solve

ln (a) = \frac{ln ( 2 )}{11} : a = e^{\frac{l n ( 2 )}{11}}

a = e^{\frac{l n ( 2 )}{11}}

Verify Solutions:

a = e^{\frac{l n ( 2 )}{11}}

True

The solution is

a = e^{\frac{l n ( 2 )}{11}}

17 - ln (3 - x) = 0

ln (2^{4} - x) = 0

lo g_{10} (1 + x) (0.1) = 72

0 = 3 + lo g_{0.3} (x + 5)

2 lo g_{10} (x) - lo g_{10} (x - 1) = 1

What is the answer to (ln(2))/(ln(a))=11 ?
The answer to (ln(2))/(ln(a))=11 is a=e^{(ln(2))/(11)}
Solve for a: (ln(2))/(ln(a))=11
The solution is a=e^{(ln(2))/(11)}