Question

Log3(2x-5)=2 Answer is 41/2.  Why?

Answer 1

I guess that your question is:

$log[6*(2x-5)]=2$

So, we can apply this property of log

$log_b~(a)=c\Leftrightarrow a=b^c$

them...

$log[6*(2x-5)]=2$

$6*(2x-5)=10^2$

$12x-30=100$

$12x=100+30$

$12x=130$

$x=\frac{130}{12}$

simplifying

$\boxed{\boxed{x=\frac{65}{6}}}$

Answer 2

Answer:

0.954243x−2.385606=2

Let's solve your equation step-by-step.

0.954243x−2.385606=2

Step 1: Add 2.385606 to both sides.

0.954243x−2.385606+2.385606=2+2.385606

0.954243x=4.385606

Step 2: Divide both sides by 0.954243.

0.954243x/0.954243 = 4.385606/0.954243

x=4.595901

Answer:

x=4.595901

Step-by-step explanation: