SOLUTION: Solve: logbase3(logbasex(logbase4 16)) = 1 Solve: 6^2logbase6 X + logbase6 X =125 Write the expression as a single logarithm: 3loga - logb - (1/2)logc

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve: logbase3(logbasex(logbase4 16)) = 1 Solve: 6^2logbase6 X + logbase6 X =125 Write the expression as a single logarithm: 3loga - logb - (1/2)logc      Log On


   



Question 456781: Solve: logbase3(logbasex(logbase4 16)) = 1
Solve: 6^2logbase6 X + logbase6 X =125
Write the expression as a single logarithm:
3loga - logb - (1/2)logc

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: logbase3(logbasex(logbase4 16)) = 1
----
log3(logx(2)) = 1
---
logx(2) = 3
---
x^3 = 2
x = 2^(1/3)
===============

Solve: 6^2logbase6 X + logbase6 X =125
36*log6(x)) + log6(x) = 125
---
37log6(x) = 125
---
x^37 = 6^125
---
x = 425.49
======================
Write the expression as a single logarithm:
3loga - logb - (1/2)logc
---
loga^3 - logb - logc^(1/2)
---
= log[a^3/(bc^(1/2))]
============================
Cheers,
Stan H.