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 ! ~