How Do You Solve This Logarithmic Equation for X?

Thread starter rich6490
Start date Oct 7, 2008

AI Thread Summary

To solve the logarithmic equation 2log(x) = log(2) + log(3x - 4), first apply the property of logarithms that combines logs: log(a) + log(b) = log(ab). This transforms the right side into log(2(3x - 4)). Next, rewrite the left side as log(x^2) to equate the arguments of the logarithms, leading to x^2 = 2(3x - 4). Simplifying this equation will help isolate x and find the solution. The discussion emphasizes the importance of using logarithmic properties to manipulate and solve the equation effectively.

Oct 7, 2008

rich6490

Calc Problem, Solve for X...?

Homework Statement

2logx=log2+log(3x-4)

Homework Equations

Shown Above

The Attempt at a Solution

None.

If someone could get me started on this that would be great.

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Oct 7, 2008

gabbagabbahey

Homework Helper

Gold Member

log(a)+log(b)=log(ab)...what does the right-hand side of your equation become when you use this property?

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