Question

I need help on this, I need it answered in steps

Answer 1

Let's solve the given logarithmic expression:

`\text{ log}_4(64)\text{ = m}`

We get,

`\text{ log}_4(64)\text{ = m}`
`\mathrm{Factor\: the\: number\colon\: }\: 64=4^3`
`=\log _4\mleft(4^3\mright)`
`\mathrm{Apply\: log\: rule}\colon\quad \log _a\mleft(a^x\mright)=x`
`\log _4\mleft(4^3\mright)\text{ = 3 = m}`

Therefore, m = 3.