16^5x=64^x+7

Can you help me through the steps of this one please?​

Chamberlin wants to bottle 1\8 of her apple cider. she pours the apple cider evenly among 6 bottles. what fraction of her apple cider will she put in each bottle? what expression could represent this situation?

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?