Find x if log1218 = log24x + 1. log24x+1 + 4

Correct Answer: 3(1-a-b)

Correct Answer: 1

Correct Answer: 0

Explanation:

= log tan 1 0 + log tan 89 0 + log tan 2 0 + log tan 88 0 + ? ? + log tan 45 0  

 

= log [ tan 1 0 × tan 89 0 ] + log [ tan 2 0 × tan 88 0 ] + ? ? + log 1  

 

? tan ( 90 - ? ) = c o t ? a n d tan 45 0 = 1  

 

= log 1 + log 1 +.....+log 1 

 

= 0.

Correct Answer: 3/2

Explanation:

  $$\begin{gathered} = log 3 3 + log 2 3 + log 10 3 log 10 × 3 × 2 2 \\ \end{gathered}$$ 

 

 

 

= log 3 3 1 2 + log 2 3 + log 10 3 1 2 log ( 10 × 3 × 2 2 )  

 

 

 

 

 

 

 

= 1 2 log 3 3 + 3 log 2 + 1 2 log 10 3 log 10 + log 3 + log 2 2  

 

 

 

 

 

 

 

= 3 2 log 3 + 2 log 2 + log 10 log 3 + 2 log 2 + log 10 =  3 2  

Correct Answer: -5

Explanation:

log (0.0000134). Since there are four zeros between the decimal point and
the first significant digit, the characteristic is ?5.

Correct Answer: None of these

Explanation:

But at x=-1/3, log x is not defined.

 

The only admissible value of x is 1.

Correct Answer: 2

Correct Answer: 3

Correct Answer: 0

Explanation:

 

 

                             

                             

Correct Answer: 1/3

Explanation:

$$\begin{gathered} log 343 7 \\ log 7 3 7 \\ 1 3 log 7 7 \\ W e k n o w t h a t l o g x x = 1 \\ = > 1 3 \end{gathered}$$