Evaluate 10y = 0.000001 Solution:- Note that by convention, log 10x is simply denoted log x. To evaluate log 0.000001, that is , log 100.000001, write y…
Category: logarithmic
Problem 728
Evaluate ln e6 Solution:- Use the basic properties of logarithms to find ln e6. Recall that by the definition of the natural logarithm, ln x = log ex.…
Problem 727
Evaluate ln 1 Solution:- To evaluate ln 1, use the basic properties of logarithms . First recall that by the definition of the natural logarithm , ln x…
Problem 726
Evaluate log 6 . Solution:- Write y = log 6 in its equivalent exponential form. 6y = Express as the power of 6. 6y = =6-2 Therefore, log 6 …
Problem 725
Write the exponential equation x = 11y in logarithmic form. Solution:- Recall y = logb x is called the logarithmic form of the equation and x = by…
Problem 724
Write the logarithmic equation y = ln (15x) in exponential form. Solution:- Recall y = logb x is called the logarithmic form of the equation and x =…
Problem 720
Solve the equation: 5-x = 625. Solution:- log5 625 = -x log5 5^4 = -x 4 log5 5 = -x (log5 5 =1) 4 = -x x =…
Problem 697
Solve the equation: 4x = 64 Solution:- = 64 =x 3 4 = x 3 = x x = 3
Problem 696
Change the exponential statement x4 = 2 into an equivalent logarithmic statement. Solution:- = 2 taking log both sides log = log 2 4log x= log 2 =4
Recent Comments