Logarithmic function and graph ( Case 1- base >1 and Case 2- base < 1)

Graph of Logarithmic function when base >1

Graph of Logarithmic function when 0< base <1

Graph of Exponential function for base >1

If the logarthim of a^(2) top the base b^(3) and the logarithm of b^(8) to the base a^(12) be equal find the value of each logarithm

. Logarithm of 144 to the base 2sqrt3 is

If logarithm of 5832 be 6 find the base

Problem base OF logarithmic equation and basic properties & sign OF logarithm

Graph of Exponential function for 0< base <1

Find the logarithm of : (i) 100 to the base 10 (ii) 0.1 to the base 10 (iii) 0.001 to the base 10 (iv) 32 to the base 4 (v) 0.125 to the base 2 (vi) (1)/(16) to the base 4 (vii) 27 to the base 9 (viii) (1)/(81) to the base 27

If the logarithm of 1728 to the base a is 6 Find a