Question

a) 2^x=16

b) 9^x-1=9

c) x⁴=16

d)2^x:2⁵=1

Answer 1

a) \(2^x=16\)

\(\Rightarrow2^x=2^4\)

\(\Rightarrow x=4\)

b) \(9^{x-1}=9\)

\(\Rightarrow9^{x-1}=9^1\)

\(\Rightarrow x-1=1\)

\(\Rightarrow x=1+1\)

\(\Rightarrow x=2\)

c) \(x^4=16\)

\(\Rightarrow x^4=2^4\)

\(\Rightarrow x=2\)

d)\(2^x:2^5=1\)

\(\Rightarrow2^{x-5}=2^0\)

\(\Rightarrow x-5=0\)

\(\Rightarrow x=5\)

Answer 2

a) 2^x = 16

<=> 2^x = 2⁴

<=> x = 4

=> x = 4

b) 9^{x - 1} = 9

<=> 9^{x - 1} = 9¹

<=> x - 1 = 1

<=> x = 2

=> x = 2

c) x⁴ = 16

<=> x⁴ = 2⁴

<=> x = -2; 2

=> x = -2; 2