solve for x, rounding to the nearest hundredth
16 times 10^5x=96
To solve for x, we can start by dividing both sides of the equation by 16:
10^5x = 96/16
10^5x = 6
Next, we can take the logarithm (base 10) of both sides:
log(10^5x) = log(6)
Using the power rule of logarithms, we can bring down the exponent:
5x * log(10) = log(6)
Since log(10) = 1, we can simplify the equation:
5x = log(6)
Now, divide both sides by 5:
x = log(6) / 5
Using a calculator, we can find the value of log(6) to be approximately 0.7782.
Therefore, x ≈ 0.7782 / 5 ≈ 0.1556. Rounded to the nearest hundredth, x ≈ 0.16.