Write an expression where you multiply 0.035 times the power of ten so that the product is greater than 1 and less than 100

Step-by-step explanation:

Given: The value of 0.035

Now, as we know 0.035 has three decimal place which mean if we multiply by 1000 then we have the product 35 which is greater than 1 and less than 100, however if we multiply 0.035 by 10000 then the output will be greater than 100, which is invalid.

Lets us use hit and trail method.

Now lets put the value in expression

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step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752