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solve:

(1/3)logx = log8

 

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

 Jan 25, 2018
 #1
avatar+99 
+2

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
avatar+102320 
+1

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

 

 

cool cool cool

 Jan 25, 2018

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