Solve algebraically. Then find a decimal approximation to 3 places

Katherine Walls

Katherine Walls

Answered question

2021-12-18

Solve algebraically. Then find a decimal approximation to 3 places after the decimal with your calculator.
125=257x

Answer & Explanation

Nadine Salcido

Nadine Salcido

Beginner2021-12-19Added 34 answers

125=257x
(5)3=((5)2)7x
(5)3=(5)2(7x) {((x)a)b=xab}
(5)3=(5)142x
3=142x {xa=xba=b}
314=2x
11=2x
x=112
x=5.5
Shannon Hodgkinson

Shannon Hodgkinson

Beginner2021-12-20Added 34 answers

125=257x
Apply exponent rules
3=2(7x)
Solve 3=2(7x):x=112
x=112 (Decimal: x=5.5)
nick1337

nick1337

Expert2021-12-28Added 777 answers

257x=125
25x+7=125
log(25x+7)=log(125)
(x+7)log(25)=log(125)
x+7=log(125)log(25)
x+7=log25(125)
x=327
x=1121

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