Question

What is the solution of log4 16 - 2log4x=1?​

Answer 1

Step-by-step explanation:

log 16 base 4 = log 4² base 4 = 2log4 base4 = 2

2logx base 4= log x² base4

so given question becomes

2- log x² base 4 =1

log x² base 4 = 2-1 =1

x² = 4¹ = 2²

x= 2

Answer 2

log 4 base 16-2 log x base 4=1

2-log x² base 4 =1

log x²base 4 =1

x²=4

x=2