Find the value of [LG ^ 2 (5) - LG ^ 2 (2) / lg25-lg4] * log (1 / 2) 1 / 4 + 8 ^ [log (4) (3 / 5) ^ 2]

Find the value of [LG ^ 2 (5) - LG ^ 2 (2) / lg25-lg4] * log (1 / 2) 1 / 4 + 8 ^ [log (4) (3 / 5) ^ 2]


[lg^2(5)-lg^2(2)/lg25-lg4]*log(1/2)1/4+8^[log(4)(3/5)^2]
=[(lg(5)+lg(2))(lg(5)-lg(2))/2(lg5-lg2)]*log(1/2)(1/2)^2+2^3[log(4)(3/5)^2]
=[(lg(5)+lg(2))/2]*2+2^2[log(4)(3/5)^3]
=(1/2)*2+4^[log(4)(3/5)^3]
=1+(3/5)^3
=1+27/125
=152/125



Log is base 3 [log is base 4 (log is base 5, logarithm of a)] = log is base 4 [log is base 3 (log is base 5, logarithm of B)] = 0, then a / B is?
calculation


Log base 3 [log base 4 (log base 5, logarithm of a)] = log base 4 [log base 3 (log base 5, logarithm of B)] = 0
Log is based on 4 (log is based on 5, logarithm of a) = 1
Log is based on 3 (log is based on 5, logarithm of B) = 1
Log is based on 5, the logarithm of a = 4
Log is based on 5, the logarithm of B = 3
a=5^4
b=5^3
a/b=5



Function. Given that the logarithm of log with base 5 of 35 = m, find the logarithm of log with base 7 of 1.4
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(m-1) (m-2)
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