Question

please help and check my answers. thank you. log b 5 = 1.1610 log b 2 = .5000 Find each of the following.
(a) log b10
log b5+ log b5= 1.661
(b)log b125
2log b5+log b5
(1.1610)^2+1.1610=2.508921
(c)log b2/5
log b2-log b5
.5000-1.1610=-.661
(d) log b3√25
completely stuck on d

Answer 1

Your syntax is all smashed together, and difficult to understand. Did you mean this initially?

\(\huge \log_b5=1.1610\)
\(\huge \log_b2=0.5\)

In which case you'd want to find what b is...

\(\huge b^{\log_b 2} = b^{0.5}\)
\(\huge 2 = b^{0.5}\)
\(\huge 2 = \sqrt{b}\)
\(\huge 4 = b\)
Check:
\(\huge \log_45=1.160964047...\)

Answer 2

For your last one, isn't \(3\sqrt{25}\) just = 3*5 = 15? ;-)

Unless that's not what you meant to write.