Question

Let logbA=3 logbC=2 logbD=5

then what is the value of
logb d^2/ c^3a

Answer 1

http://assets.openstudy.com/updates/attachments/54909a34e4b0efa952d34811-abswag13-1418762821260-capture.png

Answer 2

\[\log_{b} x = y\]
means \[b^y = x\]
thus

\[\log_{b} A = 3\]
\[b^3 = A\]
\[\log_{b} C = 2\]
\[b^2 = C\]
\[\log_{b} D = 5\]
\[b^5 = D\]
\[\frac{ \log_{b}D^2 }{ c^3*a } = \log_{b} \frac{ (b^5)^2 }{ (b^2)^3 *b^3 }\]
so what will be the answer?

Answer 3

A. 19
B. 4.44
C. 1
D. 0.549

Answer 4

@sangya21

Answer 5

\[lob_b \frac{ b^{10} }{ b^9 }\]
\[\log_b b = 1\]