Question

2.
If 3x-1= 9 and 4y +2 = 64, find the value of Y_X
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Answer 1

Step-by-step explanation:

3x=10

X=10/3

4y=62

Y=62/4

Y=13

Answer 2

Correct Question

$\sf If \:3^{x-1}= 9\: and \:4^{y +2 }= 64$, find the value of x/y and x, y

Given equation

• $\tt 3^{x - 1 }= 9$
• $\tt 4^{y + 2 }= 64$

Solution

$\sf → 3^{x-1}=9\\ \tt → 3^{x-1}=3^2 \\ \sf → 3^{x-1}=3^2$ { base are equal }

• Now comparing the exponents

$\sf → x-1=2\\ \tt → x = 2+1\\ \sf→ x = 3$

Similarly

$\tt→ 4^{y + 2 }= 64 \\ \tt→ 4^{y+2}=4^3\\ \sf→ 4^{y+2}=4^3$ { base are equal }

• Now again comparing the exponents

$\sf → y+2=3\\ \tt → y = 3-2\\ \sf→ y= 1$

Hence

• Value of x and y = 3 and 1

And

• value of x/y = 3/1