Question

[Nguyễn Minh Thư· (Nguyễn Minh Thư·)]

    giúp mik với ak

Answer 1

[Nguyễn Lê Phước Thịnh]

1: \(3^{x+2}+3^x=10\)

=>\(9\cdot3^x+3^x=10\)

=>\(10\cdot3^x=10\)

=>\(3^x=1\)

=>x=0

2: \(2^{x+1}-2^x=32\)

=>\(2^x\cdot2-2^x=32\)

=>\(2^x=32=2^5\)

=>x=5

3: \(4^{x+2}-4^x=60\)

=>\(4^x\cdot16-4^x=60\)

=>\(15\cdot4^x=15\cdot4\)

=>\(4^x=4\)

=>x=1

4: \(2^{x+2}-2^x=96\)

=>\(4\cdot2^x-2^x=96\)

=>\(3\cdot2^x=3\cdot32\)

=>\(2^x=32\)

=>x=5

5: \(2^{x+3}+2^x=144\)

=>\(2^x\cdot8+2^x=144\)

=>\(9\cdot2^x=9\cdot16\)

=>\(2^x=16\)

=>x=4

6: \(3^{x+3}-3^x=234\)

=>\(3^x\cdot27-3^x=234\)

=>\(26\cdot3^x=234\)

=>\(3^x=9=3^2\)

=>x=2

7: 

\(5^x+5^{x+1}=750\)

=>\(5^x+5\cdot5^x=750\)

=>\(6\cdot5^x=750\)

=>\(5^x=125=5^3\)

=>x=3

8: \(2^x+2^{x+2}=320\)

=>\(2^x+2^x\cdot4=320\)

=>\(5\cdot2^x=320\)

=>\(2^x=64=2^6\)

=>x=6

9: \(5^x+5^{x+2}=650\)

=>\(5^x+5^x\cdot25=650\)

=>\(26\cdot5^x=650\)

=>\(5^x=\dfrac{650}{26}=25=5^2\)

=>x=2