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mosunovaa86
@mosunovaa86
July 2022
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Помогите, пожалуйста!
1) (2/3)^x * (9/8)^x=27/64
2)10^x - 5^(x-1) *2^(x-2)=950
3)5^x+5^(x+2) +5^(x+4)=651
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Utem
10ˣ-5ˣ⁻¹*2ˣ⁻²=950
2ˣ*5ˣ-5ˣ*5⁻¹*2ˣ*2⁻²=950
2ˣ*5ˣ(1-5⁻¹*2⁻²)=950
10ˣ*(19/20)=950
10ˣ=950*20/19
10ˣ=1000
10ˣ=10³
x=3
5ˣ+5ˣ⁺²+5ˣ⁺⁴=651
5ˣ+5ˣ*5²+5ˣ*5⁴=651
5ˣ(1+25+625)=651
5ˣ*651=651
5ˣ=651:651
5ˣ=1
5ˣ=5⁰
x=0
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Answers & Comments
10ˣ-5ˣ⁻¹*2ˣ⁻²=950
2ˣ*5ˣ-5ˣ*5⁻¹*2ˣ*2⁻²=950
2ˣ*5ˣ(1-5⁻¹*2⁻²)=950
10ˣ*(19/20)=950
10ˣ=950*20/19
10ˣ=1000
10ˣ=10³
x=3
5ˣ+5ˣ⁺²+5ˣ⁺⁴=651
5ˣ+5ˣ*5²+5ˣ*5⁴=651
5ˣ(1+25+625)=651
5ˣ*651=651
5ˣ=651:651
5ˣ=1
5ˣ=5⁰
x=0