Question

If log 2= 0.3010 5^x=400 then x is

Answer 1

Answer:

3.2040

Step-by-step explanation:

check for step by step explanation above

Answer 2

The value of x is 2.408.

Step-by-step explanation:

Given : If $\log 2=0.3010$ and $5^x=400$.

To find : The value of x ?

Solution :

Equation $5^x=400$

Using logarithmic property, $a^x=b\Rightarrow x=\log_a b$

$5^x=400\Rightarrow x=\log_5 400$

Solving the equation,

$x=\log_5 (5^2\times 2^4)$

Using logarithmic property, $\log ab=\log a+\log b$ , $\log a^x=x\log a$

$x=\log_5 5^2\times \log_5 2^4$

$x=2\log_5 5\times 4\log_5 2$

$x=2(1)\times 4(0.3010)$

$x=2\times 1.204$

$x=2.408$

Therefore, the value of x is 2.408.

#Learn more

If log 2 = 0.3010 then log 5 equals to ?

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