If log10x=a,find the value of 10^a-1 in terms of x
Answers
Step-by-step explanation:
log 10 x = a
x = 10 a
10 a = x
10a /10 = x / 10
10 ^a-1 = 0.1x
Answer:
X/10
Step-by-step explanation:
To solve this, first we recapitulate the meaning of logbase x. The common logarithm of x is the power to which the number 10 must be raised to obtain the value x. For example, the common logarithm of 10 is 1, the common logarithm of 100 is 2 and the common logarithm of 1000 is 3. So by this question log base x= a . Which will mean x is a number which will be equal to 10^a(10 to the power of a) .So 10^a=x . Now we know the simple relation between constant a and x. Now we come to the solving part. We know 10^a=x now the question is 10^a-1 = ?. So x will be X/10. So the answer you are looking for is 10^a-1= x/10,as we are calculating a power of ten which is one less that the original power of a hence the value of x will be X/10 as a decrease in power means x will also decrease by 10 times as it is power of 10.
Got it ??