The solution of 642x−5=4×8x−5 is
Applying the law of exponents and solving the equations:
642x−5=4×8x−526(2x−5)=22×23(x−5)212x−30=23(x−5)+2212x−30=23x−15+2212x−30=23x−13
Now comparing the bases of 2.
12x-30=3x-1312x-3x=30-139x=17x=179
Hence, the solution of the equation is 179.
Question 53
State whether the statement is True or False.
32 is the solution of the equation 8x - 5 = 7.
Look at the pattern and fill in the blanks:
5=4×1+1, For 1st term or n=1
9=4×2+1, For 2nd term or n=2
13=4×3+1, For 3rd term or n=3
17=4×4+1, For 4th term or n=4
21=4×5+1, For 5th term or n=5
∴Expression for nth term is 4n+1.
(i) For n=8, 4×____+1=____.