Download App

Exponents Of Real Numbers — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsExponents Of Real Numbers2 Marks
Question
Solve the following equations for x:$4^{\text{x}-1}\times(0.5)^{3-2\text{x}}=\Big(\frac{1}{8}\Big)^\text{x}$
✓

Answer

We have,$4^{\text{x}-1}\times(0.5)^{3-2\text{x}}=\Big(\frac{1}{8}\Big)^\text{x}$
$2^{2\text{x}-2}\times\Big(\frac{1}{2}\Big)^{3-2\text{x}}=\Big(\frac{1}{2}\Big)^{3\text{x}}$
$2^{2\text{x}-2}\times2^{2\text{x}-3}=\Big(\frac{1}{2}\Big)^{3​\text{x}​}$
$2^{2\text{x}-2+2\text{x}-3}=\Big(\frac{1}{2}\Big)^{3\text{x}}$
$2^{4\text{x}-5}=2^{-3\text{x}}$
$4\text{x}-5=-3\text{x}$
$7\text{x}=5$
$\text{x}=\frac{5}{7}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Mark Question" from Exponents Of Real Numbers→Exponents Of Real Numbers — all question types→Maths STD 9 question papers→Maharashtra Board STD 9 question papers→Maharashtra Board question paper generator→

Similar questions

Multiply:
$\left(x^2+4 y^2+z^2+2 x y+x z-2 y z\right)$ by $(x-2 y-z)$
→
If $f(x)=2 x^3-13 x^2+17 x+12$, Find:
f(2)
→
Write the following in decimal form and say what kind of decimal expansion has.$\frac{261}{400}$
→
Factorise:
$16 x^2+4 y^2+9 z^2-16 x y-12 y z+24 x z$
→
Factorise:
$x^6-729$
→
Find the mode of the following data in each case:
14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18
→
Find the volume of the right circular cone with the following dimensions:
Radius 6cm, height 7cm.
→
Evaluate the following using identities:
$(0.98)^2$
→
Explain the difference between a frequency distribution and a cumulative frequency distribution.
→
What do you understand by the word “statistics” in:
Singular form.
→