SOLUTION: Hi good day i'm having problems with a logarithmic equation: log X^4 - log X^3 = log 5x - log 2x using the laws of logarithms i have been able to change the equation into th

Question 909263: Hi good day i'm having problems with a logarithmic equation:
log X^4 - log X^3 = log 5x - log 2x
using the laws of logarithms i have been able to change the equation into the form:
log X^4/X^3 = log 5X/2X
its from here i am stuck. I need to solve for 'X'.Can you explain in the simplest way how i can solve for x. your help would be greatly appreciated.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
log X^4 - log X^3 = log 5x - log 2x
using the laws of logarithms i have been able to change the equation into the form:
log X^4/X^3 = log 5X/2X
its from here i am stuck. I need to solve for 'X'.Can you explain in the simplest way how i can solve for x. your help would be greatly appreciated.
===================
Using parentheses might make things clearer.
log(X^4/X^3) = log(5X/2X)
log(X) = log(5/2)
If the logs are equal:
x = 5/2
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