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Where there is no base then we consider it with base 10 eg - log₁₀2

3log5 + 6log2 - 2log10

= log 5³ + log 2⁶ - log 10²

=

= log 10 x 2³

= 1 + 3log 2 {log 2 = 0.301}

=1.90

3log5 + 6log2 - 2log10

= log 5³ + log 2⁶ - log 10²

=

= log 10 x 2³

= 1 + 3log 2 {log 2 = 0.301}

=1.90

__ANSWER__

there is no base so consider it as 10

3log₁₀5+6log₁₀2-2log₁₀10 = log₁₀5³+log₁₀2⁶-log₁₀10²

= log₁₀390625+log₁₀64/log₁₀10²

= log₁₀ ( 390625×64)/log₁₀10²

= log₁₀(25000000)/log₁₀100

= log₁₀(25000000/100)

= log₁₀ (250000)

= log₁₀25×10000

= log₁₀25×10⁴

= log₁₀5²+log₁₀10⁴

= 2log₁₀5+4log₁₀10

= 2log₁₀5+4

= 2(log₁₀5+2)

=2(0.699+2)

= 2(2.699)

= 5.398