1. ## Logarithms 2

• Can someone show me step by step how to work this out, as I am not good at logs (and I have read through notes). I have 20 similar questions, so it would be a massive help if someone can walk me through, step by step please

Without using a calculator, solve the following equation for x:

log (x) = 4 log (2) -2 log (x)

Thanks

2. Post you working so far.

We can then go through from where you are stuck and take it from there.

3. I'm not sure if I am on the right track, so I don't have much for this one. I have:

log (x) = 4 log (2) - 2 log (x)

log x (x) - 4 x log (2) + 2 log (x)

I don't know if I'm on the right track, and if I am, I don't know where to go from here.

4. Originally Posted by AJShaw
• Can someone show me step by step how to work this out, as I am not good at logs (and I have read through notes). I have 20 similar questions, so it would be a massive help if someone can walk me through, step by step please

Without using a calculator, solve the following equation for x:

log (x) = 4 log (2) -2 log (x)

Thanks
Just treat this as a basic algebra question first.

$\displaystyle log (x) = 4 log (2) -2 log (x)$

$\displaystyle log (x) + 2 log (x) = 4 log (2)$

$\displaystyle 3 log (x) = 4 log (2)$.

Remember that $\displaystyle \alpha log(\beta) = log(\beta^{\alpha})$.

Now apply the above rule to your question, what do you get?