SOLUTION: Solve for x: log 2,(log 5,(x-1)) = 1 Thank you for your help! I appreciate it!

Question 354512: Solve for x:
log 2,(log 5,(x-1)) = 1
Thank you for your help!
I appreciate it!
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

For an equation of this form, log(expression) = expression, and the variable in the argument of the log, you want to rewrite the equation in exponential form. In general is equivalent to . So your equation is equivalent to:

which simplifies to:

We still have an equation of the form, log(expression) = expression, so we will repeat the procedure of rewriting it in exponential form:

which simplifies to:

Solving this simple equation gives us:

RELATED QUESTIONS
Solve for x: log(base10)8 - 1/3log(base10)x = log(base10)2 I would really appreciate... (answered by Earlsdon)

Solve for x: log 2,(x+6) + log 2,(x-1) = 3 Thank you for your help! (answered by robertb)

Please i need help solving for x, thank you... (answered by josgarithmetic,MathTherapy)

I am having difficulty solving 2 problems. I would appreciate if someone can help me.... (answered by MathTherapy)

Condense the expression: 1/3 log(base5)8 - 1/2 log(base5)x + 4 log (base5)y Please... (answered by venugopalramana)

Hi please help me with these three problems. I sure would appreciate your help.... (answered by stanbon,Nate)

I don't even know where to start with this one, looking for help Solve for x 27.)... (answered by ankor@dixie-net.com)

It has been 60 years since I had math using Log functions. I would like to know how to... (answered by Alan3354)

I am having trouble with this toic can someone please help me. Solve logarithmic... (answered by scott8148)