Log Equations?

If the problem is:  5log₅(2v + 4) - 4  =  -9

Add 4 to both sides:     5log₅(2v + 4)  =  -5

Divide both sides by 5:  log₅(2v + 4)  =  -1      

Write into exponential notation:  2v + 4  =  5^-1    --->    2v + 4  =  1/5

Subtract 4 from both sides:        2v  =  -3.8

Divide both sides by 2:                v  =  -1.9 

Is that (5) base??

geno3141

 

I think it's log with base 10

and rest of them are just multiplying

I think that it is base 10 too

 

5log(5)*(2v+4)-4=-9

5log(5)*(2v+4)=-5

log(5)*(2v+4)=-1

(2v+4)=-1/log(5)

2v=-1/log(5)-4

v=[-1/log(5)-4]/2

 

$${\frac{\left({\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{log}_{10}\left({\mathtt{5}}\right)}}{\mathtt{\,-\,}}{\mathtt{4}}\right)}{{\mathtt{2}}}} = -{\mathtt{2.715\: \!338\: \!279\: \!036\: \!696\: \!4}}$$

Actually looking at the numbers Gino's interpretation is probably correct.

The question shoulld not have had the * sign in it :)