SOLUTION: evaluate the logarithm. 1. log (base 7) 1/49 write the expression as a single logarithm 2. 5log (base b)q+3 log(base b)w 3. 4 log x-6 log (x+2) 4. solve 4^2x=111

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: evaluate the logarithm. 1. log (base 7) 1/49 write the expression as a single logarithm 2. 5log (base b)q+3 log(base b)w 3. 4 log x-6 log (x+2) 4. solve 4^2x=111      Log On


   

Question 315262: evaluate the logarithm.
1. log (base 7) 1/49
write the expression as a single logarithm
2. 5log (base b)q+3 log(base b)w
3. 4 log x-6 log (x+2)
4. solve 4^2x=111
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
1. log (base 7) 1/49
+log%287%2C1%2F49%29+
+log%287%2C1%29-+log%287%2C49%29+
+log%287%2C7%5E0%29-+log%287%2C7%5E7%29+
+0-7+
+-7+

write the expression as a single logarithm
2. 5log (base b)q+3 log(base b)w
5log%28b%2Cq%2B3%29log%28b%2Cw%29
log%28b%2C%28q%2B3%29%5E5%29log%28b%2Cw%29
log%28b%2C%28q%2B3%29%5E5%2Bw%29
3. 4 log x-6 log (x+2)
4+log%28x%29+-+6log%28x%2B2%29
log%28x%5E4%29+-+log%28%28x%2B2%29%5E6%29
log+%28x%5E4%2F%28x%2B2%29%5E6%29
4. solve 4^2x=111
4%5E%282x%29=111
log%284%2C4%5E%282x%29%29=+log%284%2C111%29
2x=+log%284%2C111%29
x=+log%284%2C111%29%2F2
x=+log%28111%29%2F2log%284%29
x=+1.7