Question
Solve the following equations:
$3^{\text{x}+1}=27\times3^4$
$3^{\text{x}+1}=27\times3^4$
✓
Answer
$3^{\text{x}+1}=27\times3^4$
$\Rightarrow3^{\text{x}+1}=3^3\times3^4$
$\Rightarrow3^{\text{x}+1}+3^7$
$\Rightarrow\text{x}+1=7$
$\Rightarrow\text{x}=6$
$\Rightarrow3^{\text{x}+1}=3^3\times3^4$
$\Rightarrow3^{\text{x}+1}+3^7$
$\Rightarrow\text{x}+1=7$
$\Rightarrow\text{x}=6$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Using factor theorem, show that g(x) is a factor of p(x), when
→$\text{p}(\text{x})=2\sqrt2\text{x}^2+5\text{x}+\sqrt2,$ $\text{g}(\text{x})=\text{x}+\sqrt2$
Factorise the following:
25x2 + 16y2 + 4z2 - 40xy + 16yz - 20xz
25x2 + 16y2 + 4z2 - 40xy + 16yz - 20xz
The average weight of 10 oarsmen in a boat is increased by 1.5kg when one of the crew who weighs 58kg is replaced by a new. Find the weight of the new man.
Define the following terms:
Half-line.
Half-line.
A cone, a hemisphere, and a cylinder stand on equal bases and have the same height. Show that their volumes are in the ratio 1 : 2 : 3.
Find the remainder when x3 - ax2 + 6x - a is divided by x - a.
ABCD is a rhombus show that diagonal AC bisects $\angle $A as well as $\angle $C and diagonal BD bisects $\angle $B as well as $\angle $D
→→
Verify $x = - \frac{1}{3}$ are zeroes of the polynomial $p\left( x \right) = 3x + 1$
→Give an example of a number x such that x2 is an irrational number and x3 is a rational number.