# Help with Logarithmic Equations

• Nov 24th 2008, 02:48 PM
epetrik
Help with Logarithmic Equations
Please help me in anyway figure these out, I have a test tomorrow!

Solve the equation:
8^x+1=6

So far I have:
(x+1)log8 = log6
= xlog8 + 1log8 = log6

Do I subtract the 1log8 from both sides next?
Really confused so any help would be greatly appreciated!
• Nov 24th 2008, 03:09 PM
masters
Quote:

Originally Posted by epetrik
Please help me in anyway figure these out, I have a test tomorrow!

Solve the equation:
8^x+1=6

So far I have:
(x+1)log8 = log6
= xlog8 + 1log8 = log6

Do I subtract the 1log8 from both sides next?
Really confused so any help would be greatly appreciated!

$\displaystyle 8^{x+1}=6$

$\displaystyle (x+1)\log 8=\log 6$

$\displaystyle x+1=\frac{\log 6}{\log 8}$

$\displaystyle x=\frac{\log 6}{\log 8}-1$

• Nov 24th 2008, 03:19 PM
guywhohatesmath
Quote:

Originally Posted by masters
$\displaystyle 8^{x+1}=6$
$\displaystyle (x+1)\log 8=\log 6$
$\displaystyle x+1=\frac{\log 6}{\log 8}$
$\displaystyle x=\frac{\log 6}{\log 8}-1$