Question

If log 7 = a, then log (1/70) is equal to: 10 10

Answer 1

Answer:

-(a+1)

Hope this helps

Answer 2

$\displaystyle \sf{ If \: log \: 7 = a \: \: then \: \: log \: \bigg( \frac{1}{70} \bigg)} = - (a + 1)$

Given :

log 7 = a

To find :

$\displaystyle \sf{ log \: \bigg( \frac{1}{70} \bigg) }$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ log \: \bigg( \frac{1}{70} \bigg) }$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{ log \: \bigg( \frac{1}{70} \bigg) }$

$\displaystyle \sf{ = log \: 1 -log \: 70 }$

$\displaystyle \sf{ = 0 -log \: (7 \times 10) }$

$\displaystyle \sf{ = -(log \: 7 + log \: 10) }$

$\displaystyle \sf{ = -(a + 1) }$

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