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Vinvika [58]
2 years ago
15

Condense log₂ 4 + log₂ 5

Mathematics
2 answers:
yawa3891 [41]2 years ago
7 0

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})

liberstina [14]2 years ago
3 0

\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:-}

<u></u>

<u>`To find what we want we need to apply ㏒ rules </u>

<u />

<u />

<u />

<u />\large{\sf{\longmapsto{log_ba+log_bc=log_b(ac)}

<u>using formula,</u>

<u />

<u />

<u />

<u />\large{\sf{\longmapsto{log_24+log_25=log_2(4\cdot5)}

<u>simplifying,</u>

<u />

<u />\large{\sf{\longmapsto{log_220}

<u>`hope it was helpful ! ~</u>

<u />

<u />

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