During a scuba dive, Lainey descended to a point 26 feet below the ocean surface. She continued her descent at a rate of 26 feet per minute. Enter an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 68 feet below the ocean surface. Use t to represent the variable for the minutes Lainey can continue to descend.

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answer

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

391.6 is the correct answer