Question

$\log _2\left(x+1\right)=\log _3\left(27\right)$

find x

Answer 1

Explanation:

log

3

27=log

3

3

3

=3log

3

3

=3

Answer 2

♣ Qᴜᴇꜱᴛɪᴏɴ :

$\bf{Solve\:\:for\:\:x\:\::\log _2\left(x+1\right)=\log _3\left(27\right)}$

♣ ᴀɴꜱᴡᴇʀ :

$\bf{\log _2\left(x+1\right)=\log _3\left(27\right)}$

$\log _2\left(x+1\right)=3$

$\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c$

$\log _2\left(x+1\right)=3\quad \Rightarrow \quad \:x+1=2^3$

$x+1=2^3$

$x+1=8$

$\huge\boxed{\bf{x=7}}$