What is the answer to 10log_{5}(9x-5)=35 ?

The answer to 10log_{5}(9x-5)=35 is x=(125sqrt(5)+5)/9

Solve for x: 10log_{5}(9x-5)=35

The solution is x=(125sqrt(5)+5)/9

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10 lo g_{5} (9 x - 5) = 35

x = \frac{125 5 + 5}{9}

Decimal

x = 31.61205 \dots

Solution steps

10 lo g_{5} (9 x - 5) = 35

Divide both sides by

10

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

Apply log rules

9 x - 5 = 1255

Solve

9 x - 5 = 1255 : x = \frac{125 5 + 5}{9}

x = \frac{125 5 + 5}{9}

Verify Solutions:

x = \frac{125 5 + 5}{9}

True

The solution is

x = \frac{125 5 + 5}{9}

2 lo g_{10} (x) = 3 + lo g_{10} (\frac{x}{10})

60 = 10 lo g_{10} (x)

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

ln (x) + ln (x - 7) = ln (6 x)

ln (2 x - 3) + 1 = 0

What is the answer to 10log_{5}(9x-5)=35 ?
The answer to 10log_{5}(9x-5)=35 is x=(125sqrt(5)+5)/9
Solve for x: 10log_{5}(9x-5)=35
The solution is x=(125sqrt(5)+5)/9