Aptitude - Logarithm - Discussion

Discussion Forum : Logarithm - General Questions (Q.No. 6)
6.
If log10 7 = a, then log10 1 is equal to:
70
- (1 + a)
(1 + a)-1
a
10
1
10a
Answer: Option
Explanation:
log10 1
70
= log10 1 - log10 70
= - log10 (7 x 10)
= - (log10 7 + log10 10)
= - (a + 1).
Discussion:
33 comments Page 2 of 4.

Vinayak said:   1 decade ago
As we know that,
log 10 1 = 0.
And
log x x =1.

log 10 (1/70)=log 10 1 - log 10 70.
= 0 - log 10 70.
= - log 10 (7*10).
= -(log 1o 7 + log 10 10).
= -(a+1).

Because log10 7 = a is given and log x x =1.

Tashi said:   1 decade ago
log 10 (1/7) = log10 -log10 70.

log10 1 = 0.

Therefore 0-log10 70.

-log10 70 = its same as -log10 (7*10).

-(log10 7+log10 10).

Given log10 7 = a.

And log10 10 equal to 1 = -(a+1).

Therefore Log10 (1/70) = -(a+1).

Gosai devam said:   10 years ago
log 10(1) - log 10(70).

= 1-log 10(7*10).

-log 10(7)+log 10(10).

-a+1 answer.

Happiness said:   10 years ago
How comes, log 10 is 0 should not it be 0.01, please anyone?

Prakash said:   10 years ago
log (1/70) = log (1/7*10).

= log (1/7*1/10).
= log (1/7)+log (1/10).

= -log 7-log 10.
= -a-1.
= -(a+1).

Sidhu said:   9 years ago
As we know that,

log10 1 = 0.

And
log x x =1.
log10 (1/70) = lo10 1 - log10 70.
= 0 - log10 70.
= - log10 (7 * 10).
= - (log10 7 + log10 10).
= - (a + 1).

Because log10 7 = a is given and log x x =1.

Nkayagwa Issa said:   9 years ago
Given,
Log7 = a,

Required to find = log10(1/70)
From logarithim of quotient,
Loga/b = loga - logb,
Therefore, log10(1/70) = log1 - log70.
= 0 - log70.
Since;
Any number to power one is 0 (logs laws).
= - log(10 + 7).
= -(1 + a).

Therefore, = -(1 + a). Because log7 is already given which is a and log10 = 1.

Akanthreddy said:   9 years ago
2 step = log 10 70 = we can write it has 10*7 = 70 so we get that 2 nd step.

Abdul bari said:   9 years ago
log 10 (-1) = ?

Please solve and tell me the answer.

Shreyash said:   9 years ago
@Abdul.

Log of negative number is not defines.


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