Question

INDICES (Exponents)
${3}^{x - 1} = 9 \times {3}^{4}$
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Answer 1

ϙᴜᴇsᴛɪᴏɴ

INDICES (Exponents)

${3}^{x - 1} = 9 \times {3}^{4}$

sᴏʟᴜᴛɪᴏɴ

${3}^{x - 1} = 9 \times {3}^{4}$

$\implies {3}^{x - 1} = {3}^{2} \times {3}^{4}$

ʙᴀsᴇs ᴀʀᴇ sᴀᴍᴇ ,ᴘᴏᴡᴇʀs ᴡɪʟʟ ᴀʟsᴏ ʙᴇ sᴀᴍᴇ.

$\implies {(x-1)=2+4}$

${a}^{m} × {a}^{n}= a^{m+n}$

$\implies {x-1=6}$

$\implies {x=6+1}$

$\implies {x=7}$

THEREFORE

$\implies {x=7}$

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