Question

Can someone please help me with this logarithm equation!!

Answer 1

Answer:

$\frac{629}{2}$

Step-by-step explanation:

So, our equation is:

$log_5(\frac{2x-4}{5}) = 3$

In exponetial form, this looks like:

$5^3=\frac{2x-4}{5}$

Now lets cube the 5:

$125=\frac{2x-4}{5}$

Next, we can multiply the denominator on the right side by 5:

$625=2x-4$

We need to now get x alone by adding 4 to both sides:

$629=2x$

Finally, we divide by x's coefficent, 2, to get:

$x=\frac{629}{2}$

Hope this helps! :3