log₉(<em>x</em> - 7) + log₉(<em>x</em> - 7) = 1
2 log₉(<em>x</em> - 7) = 1
log₉(<em>x</em> - 7) = 1/2
Take the base-9 antilogarithm of both sides; in other words, make both sides powers of 9:

can also be written as √9 = 3, and
, so the equation reduces to
<em>x</em> - 7 = 3
Solve for <em>x</em> :
<em>x</em> = 10
5(6x+5)-2(4x-1) = 30x+25-8x+2 = 22x+27
Answer:
He needs to gain more than 26 yards in order to break his record
Step-by-step explanation:
Let y stand for the number of yards he’ll have to gain. The sum of y plus the number of yards he already has (203) must be greater than 229 in order for him to break the record.
203 + y > 229 Set up the inequality.
203 − 203 + y > 229 − 203 Subtract 203 from both sides of the inequality.
y > 26
Answer:
x=4 z=117
Step-by-step explanation: