Give the answers of above questions.
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To find←:
The value of x
\bf\huge{\purple{Answer←:}}Answer←:
\bf{\purple{:→}}:→ \bf{15}^{\frac{3}{2}}15
2
3
× \bf{15}^{\frac{x}{2}}15
2
x
= \bf{15}^{8}15
8
.
\bf{\purple{:→}}:→ \bf{15}^{\frac{3}{2}}15
2
3
× \bf\frac{x}{2}
2
x
\bf{\bold{\purple{As~the~base~is~same,}}}As the base is same, \bf{\bold{\purple{put~the~powers~equivalent}}}put the powers equivalent
\bf{\purple{:→}}:→ \bf\dfrac{3}{2}
2
3
+ \bf\dfrac{x}{2}
2
x
= 8
\bf{\purple{:→}}:→ \bf\dfrac{3+x}{2}
2
3+x
= 8
\bf{\purple{:→}}:→ 3 + x = 8 × 2
\bf{\purple{:→}}:→ 3 + x = 16
\bf{\purple{:→}}:→ x = 16 - 3
\bf{\purple{:→ x = 13}}:→x=13
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