Question

log3(2x-5)=2

Answer is 41/2.  Why?

Answer 1

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

Explanation:

Answer 2

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=(130)/(12)`

simplifying


`\boxed{\boxed{x=(65)/(6)}}`