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# ???

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solve:

(1/3)logx = log8

1/3 as in one third multiplied to logx !!

Jan 25, 2018

### 2+0 Answers

#1
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Answer:

x=512

Explanation:

Using the laws of logarithms

Conversion: 3 3/8 = 3 · 8 + 38 = 278

Subtract: 12 - 278 = 1 · 42 · 4 - 278 = 48 - 278 = 4 - 278 = -238
The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 8) = 8

Multiple: 13 * (-238) = 1 · (-23)3 · 8 = -2324
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1

I belive I could be wrong.

Jan 25, 2018
#2
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KillerSteve is correct!!!!.....here's a slightly easier method...

(1/3)log x  =  log 8       and we can write

log x ^(1/3)   log 8

Which implies that

x^(1/3)  = 8     cube both sides

x  = 512   Jan 25, 2018