What is the answer to solvefor a,ln(8a)=2ln(a+2b)-ln(b) ?

The answer to solvefor a,ln(8a)=2ln(a+2b)-ln(b) is a=2b {b>0}

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solvefor a,ln(8a)=2ln(a+2b)-ln(b)

solve for

a, ln (8 a) = 2 ln (a + 2 b) - ln (b)

a = 2 b {b > 0}

Solution steps

ln (8 a) = 2 ln (a + 2 b) - ln (b)

Apply log rules

8 ab = (a + 2 b)^{2}

Solve

8 ab = (a + 2 b)^{2} : a = 2 b

a = 2 b

Verify Solutions:

a = 2 b {b > 0}

The solution is

a = 2 b {b > 0}

a, lo g_{3} (a) + 1 = 2 lo g_{10} (9) (b)

lo g_{10} (x + 2) - lo g_{10} (9) = lo g_{10} (15)

lo g_{10} (x) = - 1

lo g_{10} (x) = - 5

lo g_{3} (5 x - 4) = 3

What is the answer to solvefor a,ln(8a)=2ln(a+2b)-ln(b) ?
The answer to solvefor a,ln(8a)=2ln(a+2b)-ln(b) is a=2b {b>0}