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Conditions on the Parameters of Logarithm Function

log a base 2a...

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log a base 2a=x, log 2a base 3a=y, log 3a base 4a=z; then xyz-2yz=

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x = {log}_{2 a} a, y = {log}_{3 a} 2 a, z = {log}_{4 a} 3 a

1 + x y z = 2 y z

{log}_{2 a} a = x

{log}_{3 a} 2 a = y

{log}_{4 a} 3 a = z

x y z - 2 y z

x = {log}_{2 a} a, y = {log}_{3 a} 2 a a n d z = {log}_{4 a} 3 a

x y z + 1 =

5^{log x} + 5^{log 5} = 3 (a > 0);

where base of log is a

Q. Solve for x :

5^{log x} + 5^{log 5} = 3 (a > 0)

; where base of log is a

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Conditions on the Parameters of Logarithm Function

Standard XII Mathematics

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