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GenaCL600 [577]
3 years ago
10

Solve 5^(3x-9)-10=-2

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

x = 3.431

Step-by-step explanation:

Given equation is,

5^{(3x-9)}-10=-2

5^{3x-9}-10+10=-2+10

5^{3x-9}=8

By taking log on both the sides of the equation,

\text{log}(5^{3x-9})=\text{log}8

(3x - 9)log5 = log8

3x - 9 = \frac{\text{log}8}{\text{log}5}

3x - 9 = 1.292

3x = 9 + 1.292

x = \frac{10.29202}{3}

x = 3.4306

x ≈ 3.431

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