Question

1.Find the numerical value of log3, (tan 60°)2
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Answer 1

Answer:

</p><p>==>log√3=2x

log3(3*1/2)=2x

1/2 log3 to power 3=2x

1/2*1=2x

2to power -1=2x

x=-1</p><p>

Answer 2

Given:   log₃ (tan60°)²

To find : Value

Solution:

log₃ (tan60°)²

tan60° = √3

using this value

= log₃ ( √3)²

=  log₃ 3

as we know that logₐa  = 1

= 1

=> log₃ (tan60°)² = 1

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