Find the value of x; if:
4n÷4−3=454^n ÷ 4^{-3} = 4^54n÷4−3=45
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4n÷4−3=45⇒4n−(−3)=45⇒n−(−3)=5⇒n+3=5⇒n=5−3⇒n=24^n ÷ 4^{-3} = 4^5\\[1em] \Rightarrow 4^{n-(-3)} = 4^5\\[1em] \Rightarrow n - (-3) = 5\\[1em] \Rightarrow n + 3 = 5\\[1em] \Rightarrow n = 5 - 3\\[1em] \Rightarrow n = 24n÷4−3=45⇒4n−(−3)=45⇒n−(−3)=5⇒n+3=5⇒n=5−3⇒n=2
If 4n÷4−3=454^n ÷ 4^{-3} = 4^54n÷4−3=45, then n=2n = 2n=2.
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1(125)x−7=52x−1\dfrac{1}{(125)^{x-7}}=5^{2x-1}(125)x−71=52x−1
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Simplify:81×3n+1−9×3n81×3n+2−9×3n+1\dfrac{81\times3^{n+1}-9\times3^n}{81\times3^{n+2}-9\times3^{n+1}}81×3n+2−9×3n+181×3n+1−9×3n
If 2n−7×5n−4=12502^{n-7} \times 5^{n-4} = 12502n−7×5n−4=1250, find n.
