What is the answer to -2log_{5}(2b+7)=9 ?

The answer to -2log_{5}(2b+7)=9 is b=(1-4375sqrt(5))/(1250sqrt(5))

Solve for b: -2log_{5}(2b+7)=9

The solution is b=(1-4375sqrt(5))/(1250sqrt(5))

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- 2 lo g_{5} (2 b + 7) = 9

b = \frac{1 - 4375 5}{1250 5}

Decimal Notation

b = - 3.49964 \dots

Solution steps

- 2 lo g_{5} (2 b + 7) = 9

Divide both sides by

- 2

lo g_{5} (2 b + 7) = - \frac{9}{2}

Apply log rules

2 b + 7 = \frac{1}{625 5}

Solve

2 b + 7 = \frac{1}{625 5} : b = \frac{1 - 4375 5}{1250 5}

b = \frac{1 - 4375 5}{1250 5}

Verify Solutions:

b = \frac{1 - 4375 5}{1250 5}

True

The solution is

b = \frac{1 - 4375 5}{1250 5}

lo g_{4} (5 x - 6) = 4

2 lo g_{2} (x - 1) - lo g_{2} (4 - x) = 2

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

ln (x + 2) = ln (12) - ln (x + 3)

lo g_{10} (C) = 10

What is the answer to -2log_{5}(2b+7)=9 ?
The answer to -2log_{5}(2b+7)=9 is b=(1-4375sqrt(5))/(1250sqrt(5))
Solve for b: -2log_{5}(2b+7)=9
The solution is b=(1-4375sqrt(5))/(1250sqrt(5))