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Popular >

log_{x}(m)=n+2

Solution

lo g_{x} (m) = n + 2

Solution

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

Solution steps

lo g_{x} (m) = n + 2

Apply log rules

\frac{ln ( m )}{ln ( x )} = n + 2

Multiply both sides by

ln (x)

\frac{ln ( m )}{ln ( x )} ln (x) = n ln (x) + 2 ln (x)

Simplify

ln (m) = n ln (x) + 2 ln (x)

Switch sides

n ln (x) + 2 ln (x) = ln (m)

Factor

n ln (x) + 2 ln (x) : ln (x) (n + 2)

ln (x) (n + 2) = ln (m)

Divide both sides by

n + 2

ln (x) = \frac{ln ( m )}{n + 2}

Apply log rules

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

Popular Examples

solvefor x,log_{x}(6x+16)=2 solve for

x, lo g_{x} (6 x + 16) = 2

2ln(x+2)-ln(x)=ln(2x-1)

2 ln (x + 2) - ln (x) = ln (2 x - 1)

log_{3}(x-1)=-1

lo g_{3} (x - 1) = - 1

ln (x) - ln (2) = 0

2^4=16log_{2}(x)

2^{4} = 16 lo g_{2} (x)

Frequently Asked Questions (FAQ)

What is the answer to log_{x}(m)=n+2 ?
The answer to log_{x}(m)=n+2 is x=e^{(ln(m))/(n+2)}