What is the answer to log_{5}(x-1)=2+2log_{5}(x-3) ?

The answer to log_{5}(x-1)=2+2log_{5}(x-3) is x=(151+sqrt(201))/(50)

Solve for x: log_{5}(x-1)=2+2log_{5}(x-3)

The solution is x=(151+sqrt(201))/(50)

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lo g_{5} (x - 1) = 2 + 2 lo g_{5} (x - 3)

x = \frac{151 + 201}{50}

Decimal Notation

x = 3.30354 \dots

Solution steps

lo g_{5} (x - 1) = 2 + 2 lo g_{5} (x - 3)

Apply log rules

x - 1 = 25 (x - 3)^{2}

Solve

x - 1 = 25 (x - 3)^{2} : x = \frac{151 + 201}{50}, x = \frac{151 - 201}{50}

x = \frac{151 + 201}{50}, x = \frac{151 - 201}{50}

Verify Solutions:

x = \frac{151 + 201}{50}

True

, x = \frac{151 - 201}{50}

False

The solution is

x = \frac{151 + 201}{50}

4 + lo g_{2} (9 k) = 2

x, ln (1 - y^{2} - x) = 0

17 ln (x) = 11

lo g_{5} (x + 7) = lo g_{5} (2 x + 3)

lo g_{3} (x + 3) - lo g_{3} (x - 5) = 2

What is the answer to log_{5}(x-1)=2+2log_{5}(x-3) ?
The answer to log_{5}(x-1)=2+2log_{5}(x-3) is x=(151+sqrt(201))/(50)
Solve for x: log_{5}(x-1)=2+2log_{5}(x-3)
The solution is x=(151+sqrt(201))/(50)