Solve the following equations for x:2^ x+1 =4^ x-3 - Vidyadip

Question

Solve the following equations for x:$2^{\text{x}+1}=4^{\text{x}-3}$

✓

Answer

We have,$=2^{\text{x}+1}=4^{\text{x}-3}$
$=2^{\text{x}+1}=2^{\text{2x}-6}$
$=\text{x}+1=2\text{x}-6$
$=\text{x}=7$

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

For each of the following polynomial, find $p(1), p(0)$ and $p(-2): p(y)=x^4-2 x^2+x$

Simplify the following:$\frac{\sqrt[4]{1250}}{\sqrt[4]{2}}$

Express the following equation in the form ax + by + c = 0 and indicate the values of a, b, c in case.$2\text{x}-\frac{\text{y}}{5}+6=0$

Evaluate the following using identities:$(2\text{x} +\text{y})(2\text{x} - \text{y})$

Construct the angles of the following measurements:
105°

If the supplement of an angle is two-third of itself. Determine the angle and its supplement.

Simplify:$\Bigg(\frac{12^\frac{1}{5}}{27^\frac{1}{5}}\Bigg)^\frac{5}{2}$

Factorise:
$8 a^3+125 b^3-64 c^3+120 a b c$

For each of the following polynomial, find $p(1), p(0)$ and $p(-2): p(y)=y^2-2 y+5$

Express the following equation in the form ax + by + c = 0 and indicate the values of a, b, c in case.
2x + 9 = 0