LOGARITHMS K10

 

Log₃27 + Logx =8. Find x

 

Solution

 

Log₃27 + Logx =8

 

Log₃3³ + Logx =8

 

3Log₃3 + Logx =8

 

(3 x 1) + Logx =8

 

3 + Logx =8

 

Logx =8 - 3

 

Logx =5

 

Log₁₀x =5 [Since any log without a base it is a base 10 logarithm]

 

x = 10⁵  [after changing logarithmic form into exponential form]

 

x = 100,000 answer. 

TRY THIS………….

 

Log₅625 + Logu =9. Find u