Question

write the value of x ​

Answer 1

Answer:

value of x is 2

Step-by-step explanation:

$( {2}^{3x - 1} + 10) \div 7 = 6$

$( {2}^{3x - 1} + 10) = 6 \times 7$

$( {2}^{3 - 1} + 10) = 42$

${2}^{3x - 1} = 42 - 10$

${2}^{3x - 1} = 32$

${2}^{3x - 1} = {2}^{5}$

$3x - 1 = 5$

(because base value is same , we can put the powers as equal)

$3x = 5 + 1$

$3x = 6$

$x = \frac{6}{3}$

$x = 2$