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please help Exponential and Logarithmic Equations solve each equation. Give an exact solution. 8^(x+2)=16
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@ganeshie8
good this is we dont need to mess with logs for doing this q
il give u a hint : 8 = 2^3
another hint : 16 = 2^4
\(\large 8^{x+2}=16\)
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write 8 and 16 as powers of 2
\(\large 2^{3(x+2)}=2^4\)
fine so far ?
yes
\(\large 2^{3(x+2)}=2^4\) since bases are equal on both sides, we can equate the exponents : \(\large 3(x+2) = 4\)
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solve \(x\)
x=(-2/3)
\(\large \color{red}{\checkmark}\)
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