$$\text { If } \log ( t ) \text { is } 7.87 \text {, then the value of } \log ( 11.22 t ) \text { is }$$
A) 8.26
B) 8.92
C) 9.2
D) 9.09

Question

Quizplus · Accepted Answer

Using the property of logarithms $\log_a(b\cdot c) = \log_a(b) + \log_a(c)$, we have:

\begin{align*}
\log(11.22t) &= \log(11.22\cdot t) \
&= \log(11.22) + \log(t) \
&= 1.049 \cdot \log(10) + 7.87 \
&= 1.049 \cdot 1 + 7.87 \
&= 8.92
\end{align*}

Therefore, the answer is choice (B).

If log⁡(t) is 7.87, then the value of log⁡(11.22t) is \text { If } \log ( t ) \text { is } 7.87 \text {, then the value of } \log ( 11.22 t ) \text { is } If log(t) is 7.87, then the value of log(11.22t) is

$\text { If } \log ( t ) \text { is } 7.87 \text {, then the value of } \log ( 11.22 t ) \text { is }$