3 ^ - 5 = 27 ^ x then x =
Answers
Answered by
1
Answers the value of x is 3
we have to find the value of x if
(\frac{3}{5})^x\times (\frac{5}{3})^{2x}=\frac{125}{27}(
5
3
)
x
×(
3
5
)
2x
=
27
125
The equation is
(\frac{3}{5})^x\times (\frac{5}{3})^{2x}=\frac{125}{27}(
5
3
)
x
×(
3
5
)
2x
=
27
125
(\frac{5}{3})^{-x}\times (\frac{5}{3})^{2x}=\frac{125}{27}(
3
5
)
−x
×(
3
5
)
2x
=
27
125
(\frac{5}{3})^{x}=\frac{125}{27}(
3
5
)
x
=
27
125
(\frac{5}{3})^{x}=(\frac{5}{3})^3(
3
5
)
x
=(
3
5
)
3
Comparing, we get
x=3
The value of x is 3 i.e x=3
Similar questions