Question 315262
<pre>
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
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evaluate the logarithm.
1. log (base 7) 1/49
The answer, - 7, according to the person who responded, is WRONG!

1. log (base 7) 1/49
{{{log(7, 1/49) = log (7, (7^(- 2)))}}} 
It's actually <font color = red><font size = 4><b>- 2</font></font></b> ---- {{{log (b, (b^a)) = a}}} applied
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write the expression as a single logarithm 
2. 5log (base b)q+3 log(base b)w 
If this is {{{5*log(b, (q)) + 3*log(b, (w))}}} i/o {{{5*log(b, (q + 3)) * log(b, (w))}}}, then the other person's answer, {{{log(b, (q + 3)^5 + w)}}}, is WRONG! 
           {{{5*log(b, (q)) + 3*log(b, (w))}}}
           {{{log(b, (q^5)) + log(b, (w^3))}}}
And finally, {{{log(b, (q^5w^3))}}}</pre>