Question

Condense log₂ 4 + log₂ 5

Answer 1

Answer:   $\log_2(20)$

Work Shown:

$\log_2(4) + \log_2(5)\\\\\log_2(4*5)\\\\\log_2(20)$

The rule used is $\log_{b}(\text{x}) + \log_{b}(\text{y}) = \log_{b}(\text{xy})$

Answer 2

$\large{\textbf{Heya !}}$

✏$\large\sf{\bigstar Given:-}$ ✏

• ㏒ expression = $\sf{\log_24+\log_25}$

✏$\large{\sf{\bigstar To\quad Find:-}$ ✏

• Condense the ㏒ into ONE expression - ?

✏$\large{\sf{\bigstar Solution\quad steps:-}$

`To find what we want we need to apply ㏒ rules

$\large{\sf{\longmapsto{log_ba+log_bc=log_b(ac)}$

using formula,

$\large{\sf{\longmapsto{log_24+log_25=log_2(4\cdot5)}$

simplifying,

$\large{\sf{\longmapsto{log_220}$

`hope it was helpful ! ~