SOLUTION: Please help me solve this equation: {{{ log(3x-2)=1+log(5) }}} Please note all the bases are 2 Thanks

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me solve this equation: {{{ log(3x-2)=1+log(5) }}} Please note all the bases are 2 Thanks      Log On


   

Question 471419: Please help me solve this equation: +log%283x-2%29=1%2Blog%285%29+
Please note all the bases are 2
Thanks
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
+log%282%2C%283x-2%29%29=1%2Blog%282%2C5%29+
Use log%28a%2Ca%29=1, let look at 1=log%282%2C2%29
+log%282%2C%283x-2%29%29=log%282%2C2%29%2Blog%282%2C5%29+
Use formula log%28c%2Ca%29%2Blog%28c%2Cb%29=log%28c%2Cab%29
+log%282%2C%283x-2%29%29=log%282%2C2%2A5%29+
+log%282%2C%283x-2%29%29=log%282%2C10%29+
3x-2=10
3x=10%2B2
3x=12
x=12%2F3
x=4