Question

Closed.

Answer 1

first use logarithm so you get this (3/4) Log(-2)= Log (8)

Answer 2

sorry i messed up haha!!! dont do that.

Answer 3

Ok

Answer 4

When I used mathway it calculated x = 18, but I don't know how to get to that answer.

Answer 5

\[(x-2)^\frac{ 3 }{ 4 }=8\]

Answer 6

First you take the logarithm of both sides
\[\log_{10}(x - 2)^{3/4}=\log_{10}(8) \]Using the rules of logarithms this becomes
\[3/4*\log_{10}(x - 2)=\log_{10}(8) \]Multiply both sides by 4/3. This gives\[\log_{10}(x - 2)=(4\log_{10}(8))/3 \]Exponentiate both sides using base 10\[10^{\log_{10}(x -2)}=10^{(4\log_{10}(8))/3}\]Using the rules of logarithms on the left side and the rules of exponents on the right side gives\[x - 2 = (10^{\log_{10}(8)})^{4/3}\]Using rules of logarithms again on the right side gives\[x - 2 = 8^{4/3}\]\[8^{4/3}\]is just plain old 16 so\[x - 2 = 16\]\[x = 18\]

Answer 7

Thank you so much :D

Answer 8

No problem :D

Answer 9

Power 4/3 both sides:
-> x - 2 = 2⁴
=> x = 16 + 2 = 18