Question

Tim x

a) 2^x = 32

b)27.3^x=243

c)64.4^x=4^5

Answer 1

a) 2^x = 32

2^x = 2⁵

\(\Rightarrow\) x = 5

b) 27.3^x = 243

3³.3^x = 3⁵

3^{3 + x} = 3⁵

\(\Rightarrow\) 3 + x = 5

x = 5 - 3

x = 2

c) 64.4^x = 4⁵

4³.4^x = 4⁵

4^{3 + x} = 4⁵

\(\Rightarrow\) 3 + x = 5

x = 5 - 3

x = 2

Answer 2

a)2^x=32=2⁵

=>x=5

b) 27.3^x=243

=>3³.3^x=243

=>3^3+x=243=3⁵

=>3+x=5

=>x=2

c) 64.4^x=4⁵

=>4³.4^x=4⁵

=>4^3+x=4⁵

=>3+x=5

=>x=2

Answer 3

b) 27.3x=243

=>33.3x=243

=>33+x=243=35

=>3+x=5

=>x=2

c) 64.4x=45

=>43.4x=45

=>43+x=45

=>3+x=5

=>x=2