Here are five log and exponent questions. I'm wasn't sure where to post them at so if this isn't the right place to make this thread, could someone please move it to where its proper place is.
Anyways, I've been able to solve some of these but I got decimals which is bad and I'm sure that I'm doing something wrong. I understand logs, these questions are just tricky because they involve more factoring and square roots.
Here's a picture:
If that doesn't work then here's a link:
use the log-properties to simplify this equation:
. This is a quadratic equation in w. Expand the LHS:
. Use the formula to solve this equation. You'll get: w = 15 or w = 5. 5 is not defined for this equation. Thus the only possible solution is w = 15.
of course you are right that the solutions of this quadratic equation are w = 15 or w = 5. But as I've mentioned above the "solution" w = 5 doesn't satisfy your original equation.
Plug in 5:
. But you can't calculate the logarithms of negative numbers; thus w = 5 is not a solution of your equation.