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Popular >

9=y+log_{e}(y-8)

Solution

9 = y + lo g_{e} (y - 8)

Solution

y = 9

Solution steps

9 = y + lo g_{e} (y - 8)

Switch sides

y + lo g_{e} (y - 8) = 9

Move

y

to the right side

lo g_{e} (y - 8) = 9 - y

If

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

e^{l o g_{e} (y - 8)} = e^{9 - y}

Simplify

e^{l o g_{e} (y - 8)} : y - 8

y - 8 = e^{9 - y}

Solve

y - 8 = e^{9 - y} : y = 9

y = 9

Verify Solutions:

y = 9

True

The solution is

y = 9

Graph

Popular Examples

solvefor y,log_{4}(x-2y)=3 solve for

y, lo g_{4} (x - 2 y) = 3

log_{10}(x)=4log_{10}(5)

lo g_{10} (x) = 4 lo g_{10} (5)

x - 2 = lo g_{e} (x)

solvefor y,x=2ln(3-y)solve for

y, x = 2 ln (3 - y)

5 ln (x) + 5 = 0

Frequently Asked Questions (FAQ)

What is the answer to 9=y+log_{e}(y-8) ?
The answer to 9=y+log_{e}(y-8) is y=9