Question

Baif 1Tìm x

a)232-(3x+2)5=2³x5²

b)3x5^x-10⁰=74

c)4^2+x=64

d)5^x-1+5^x=100

e)21+3^x-2=48

f)3^x+2x2=7²+5.2019⁰

h)4.x³+12=120

Answer 1

a) 232 - (3x + 2).5 = 2³.5²

232 - (3x + 2).5 = 8.25

232 - 5.(3x + 2) = 200

-5.(3x + 2) = 200 - 232

-5.(3x + 2) = -32

3x + 2 = (-32) : (-5)

3x + 2 = 32/5

3x = 32/5 - 2

3x = 22/5

x = 22/5 : 3

x = 22/15

Answer 2

\(a)232-\left(3x+2\right).5=2^3.5^2\)

\(\Leftrightarrow232-\left(3x+2\right).5=200\)

\(\Leftrightarrow\left(3x+2\right).5=32\)

\(\Leftrightarrow3x+2=6.4\)

\(\Leftrightarrow3x=4.4\)

\(\Leftrightarrow\frac{22}{15}\)

\(b)3.5^x-10^0=74\)

\(\Leftrightarrow3.5^x=75\)

\(\Leftrightarrow5^x=25\)

\(\Leftrightarrow5^x=5^2\)

\(\Leftrightarrow x=2\)

\(c)4^{2x+4}=64\)

\(\Leftrightarrow4^{2x+4}=4^3\)

\(\Leftrightarrow2x+4=3\)

\(\Leftrightarrow x=-\frac{1}{2}\)

\(d)5^{x-1}+5^x=100\)

\(\Leftrightarrow5^x.\frac{1}{5}+5^x=100\)

\(\Leftrightarrow5^x\left(\frac{1}{5}+1\right)=100\)

\(\Leftrightarrow5^x=\frac{250}{3}\)

Chưa nghĩ ra. Các câu khác tương tự như các câu trên.