Question

find the value of x so that ​

Answer 1

ANSWER:

x=-1/3

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Answer 2

Answer:

$x = - 1$

Step-by-step explanation:

${(5 \div 7)}^{2} \div {(5 \div 7)}^{3x + 1} = {(5 \div 7)}^{4}$

by law of exponents,

${a}^{m} \div {a}^{n} = {a}^{m - n}$

LHS becomes

${(5 \div 7)}^{2 - (3x + 1)} = {(5 \div 7)}^{1 - 3x}$

if

${a}^{m} = {a}^{n } \: then \: m = n$

therfore 1-3x=4

3x=-3

×=-1